[{"corr_author":"1","month":"03","publisher":"Springer Nature","day":"14","license":"https://creativecommons.org/licenses/by/4.0/","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png"},"year":"2026","type":"journal_article","project":[{"name":"Geometry of the tip of the global nilpotent cone","grant_number":"P35847","_id":"34b2c9cb-11ca-11ed-8bc3-a50ba74ca4a3"}],"status":"public","external_id":{"arxiv":["2411.16270"]},"publication":"Transformation Groups","department":[{"_id":"TaHa"}],"has_accepted_license":"1","article_processing_charge":"Yes (via OA deal)","language":[{"iso":"eng"}],"ddc":["510"],"date_updated":"2026-03-24T08:26:10Z","_id":"21489","doi":"10.1007/s00031-026-09958-y","author":[{"first_name":"Mischa M","last_name":"Elkner","full_name":"Elkner, Mischa M","id":"477faa59-080d-11ed-979a-c693ab7638ab"}],"date_created":"2026-03-23T15:10:43Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_published":"2026-03-14T00:00:00Z","oa":1,"citation":{"apa":"Elkner, M. M. (2026). On involutions of minuscule Kirillov algebras induced by real structures. Transformation Groups. Springer Nature. https://doi.org/10.1007/s00031-026-09958-y","chicago":"Elkner, Mischa M. “On Involutions of Minuscule Kirillov Algebras Induced by Real Structures.” Transformation Groups. Springer Nature, 2026. https://doi.org/10.1007/s00031-026-09958-y.","short":"M.M. Elkner, Transformation Groups (2026).","mla":"Elkner, Mischa M. “On Involutions of Minuscule Kirillov Algebras Induced by Real Structures.” Transformation Groups, Springer Nature, 2026, doi:10.1007/s00031-026-09958-y.","ama":"Elkner MM. On involutions of minuscule Kirillov algebras induced by real structures. Transformation Groups. 2026. doi:10.1007/s00031-026-09958-y","ieee":"M. M. Elkner, “On involutions of minuscule Kirillov algebras induced by real structures,” Transformation Groups. Springer Nature, 2026.","ista":"Elkner MM. 2026. On involutions of minuscule Kirillov algebras induced by real structures. Transformation Groups."},"arxiv":1,"acknowledgement":"I would like to thank Tamás Hausel for introducing me to this area of mathematics and for his constant guidance. I would also like to thank Jakub Löwit and Miguel González for fruitful discussions and many helpful comments on this paper. This work was done during the author’s PhD studies at the Institute of Science and Technology Austria (ISTA). It was funded by the Austrian Science Fund (FWF) 10.55776/P35847. Open access funding provided by Institute of Science and Technology (IST Austria). ","publication_identifier":{"eissn":["1531-586X"],"issn":["1083-4362"]},"main_file_link":[{"open_access":"1","url":"https://doi.org/10.1007/s00031-026-09958-y"}],"quality_controlled":"1","abstract":[{"lang":"eng","text":"We study Kirillov algebras attached to minuscule highest weight representations of semisimple Lie algebras. They can be viewed as equivariant cohomology algebras of partial flag varieties. Real structures on the varieties then induce involutions of these algebras. We describe how these involutions act on the spectra of minuscule Kirillov algebras, and model the fixed points via the equivariant cohomology of real partial flag varieties. We then use this model to characterise freeness of the fixed point coordinate ring over the appropriate base. As an application, we recover a q = -1 phenomenon of Stembridge in the minuscule case by geometric means."}],"oa_version":"None","title":"On involutions of minuscule Kirillov algebras induced by real structures","publication_status":"epub_ahead"},{"article_type":"original","publication_identifier":{"eissn":["1815-0659"]},"volume":22,"acknowledgement":"I would like to express my gratitude to Tam´as Hausel for introducing me to the subject and\r\nfor his constant guidance throughout this work. I would also like to thank Tam´as Hausel,\r\nMischa Elkner, Jakub L¨owit, Anton Mellit, Marino Romero, Leonid Rybnikov for many fruitful\r\ndiscussions and feedback on earlier drafts of this paper. We are grateful to the anonymous\r\nreferees for many useful comments and suggestions that improved the manuscript. This work was done during the author’s PhD studies at the Institute of Science and Technology Austria (ISTA). The author was supported by the Austrian Science Fund (FWF) grant\r\n“Geometry of the tip of the global nilpotent cone” no. 10.55776/P35847 and the DOC Fellowship of the Austrian Academy of Sciences. The author also acknowledges the long-term program\r\nof support of the Ukrainian research teams at the Polish Academy of Sciences carried out in\r\ncollaboration with the U.S. National Academy of Sciences with the financial support of external\r\npartners. For open access purposes, the author has applied a CC BY public copyright license\r\nto any author-accepted manuscript version arising from this submission.","intvolume":" 22","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"apa":"Ngo, N. T. (2026). Big algebra in type A for the coordinate ring of the matrix space. Symmetry, Integrability and Geometry: Methods and Applications. National Academy of Science of Ukraine. https://doi.org/10.3842/SIGMA.2026.024","ama":"Ngo NT. Big algebra in type A for the coordinate ring of the matrix space. Symmetry, Integrability and Geometry: Methods and Applications. 2026;22. doi:10.3842/SIGMA.2026.024","short":"N.T. Ngo, Symmetry, Integrability and Geometry: Methods and Applications 22 (2026).","chicago":"Ngo, Nhok T. “Big Algebra in Type A for the Coordinate Ring of the Matrix Space.” Symmetry, Integrability and Geometry: Methods and Applications. National Academy of Science of Ukraine, 2026. https://doi.org/10.3842/SIGMA.2026.024.","mla":"Ngo, Nhok T. “Big Algebra in Type A for the Coordinate Ring of the Matrix Space.” Symmetry, Integrability and Geometry: Methods and Applications, vol. 22, 024, National Academy of Science of Ukraine, 2026, doi:10.3842/SIGMA.2026.024.","ieee":"N. T. Ngo, “Big algebra in type A for the coordinate ring of the matrix space,” Symmetry, Integrability and Geometry: Methods and Applications, vol. 22. National Academy of Science of Ukraine, 2026.","ista":"Ngo NT. 2026. Big algebra in type A for the coordinate ring of the matrix space. Symmetry, Integrability and Geometry: Methods and Applications. 22, 024."},"arxiv":1,"oa":1,"date_published":"2026-03-14T00:00:00Z","OA_place":"publisher","scopus_import":"1","_id":"21718","date_created":"2026-04-12T22:01:51Z","author":[{"full_name":"Ngo, Nhok T","id":"28e53c8c-896a-11ed-bdf8-f809043ce2f0","first_name":"Nhok T","last_name":"Ngo"}],"doi":"10.3842/SIGMA.2026.024","title":"Big algebra in type A for the coordinate ring of the matrix space","oa_version":"Published Version","DOAJ_listed":"1","publication_status":"published","abstract":[{"lang":"eng","text":"In this paper, we consider the big algebra recently introduced by Hausel for the GLn-action on the coordinate ring of the matrix space Mat(n,r). In particular, we obtain explicit formulas for the big algebra generators in terms of differential operators with polynomial coefficients. We show that big algebras in type A are commutative and relate them to the Bethe subalgebra in the Yangian Y(gln). We apply these results to big algebras of symmetric powers of the standard representation of GLn.\r\n."}],"file_date_updated":"2026-04-16T06:06:54Z","quality_controlled":"1","year":"2026","project":[{"name":"Geometry of the tip of the global nilpotent cone","grant_number":"P35847","_id":"34b2c9cb-11ca-11ed-8bc3-a50ba74ca4a3"},{"_id":"e6c64f42-ab3c-11f0-94c7-a95658059ccc","name":"Big algebras in classical types","grant_number":"27483"}],"type":"journal_article","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png"},"OA_type":"diamond","day":"14","month":"03","corr_author":"1","publisher":"National Academy of Science of Ukraine","file":[{"content_type":"application/pdf","date_updated":"2026-04-16T06:06:54Z","file_size":975460,"success":1,"checksum":"29b28b5f8717ed1a084a2b551d0fd284","file_id":"21740","date_created":"2026-04-16T06:06:54Z","file_name":"2026_SIGMA_Ngo.pdf","creator":"dernst","access_level":"open_access","relation":"main_file"}],"ddc":["510"],"date_updated":"2026-04-16T06:11:12Z","language":[{"iso":"eng"}],"department":[{"_id":"TaHa"}],"has_accepted_license":"1","publication":"Symmetry, Integrability and Geometry: Methods and Applications","article_processing_charge":"No","status":"public","article_number":"024","external_id":{"arxiv":["2501.04605"]}},{"abstract":[{"lang":"eng","text":"We define a certain class of simple varieties over a field k by a constructive recipe and show how to control their (equivariant) truncating invariants. Consequently, we prove that on simple varieties: (i) if k = k and char k = p, the p-adic cyclotomic trace is an equivalence; (ii) if k = Q, the Goodwillie–Jones trace is an isomorphism in degree zero; (iii) we can control homotopy invariant K-theory KH, which is equivariantly formal and determined by its topological counterparts. Simple varieties are quite special, but encompass important singular examples appearing in geometric representation theory. We, in particular, show that both finite and affine Schubert varieties for GLn lie in this class, so all the above results hold for them. "}],"oa_version":"Published Version","title":"Equivariant localizing invariants of simple varieties","publication_status":"published","file_date_updated":"2026-05-06T06:35:05Z","quality_controlled":"1","intvolume":" 2026","acknowledgement":"This work was supported by a DOC Fellowship of the Austrian Academy of Sciences at the Institute of Science and Technology Austria (ISTA) and by an Erasmus+ staff mobility training. It took place during the author’s visit to Laboratoire de Mathématiques d’Orsay in the course of his PhD at the Institute of Science and Technology Austria. First and foremost, I would like to thank Matthew Morrow for discussions, explanations and ideas without which this work would not have been carried out. I would further like to thank Brian Conrad for providing an amazing reference on projective cones in appropriate generality, to Vova Sosnilo for carefully discussing – among other things – the derived nilinvariance for quotients by any linearly reductive group, and to Adeel Khan, Timo Richarz, Matthias Wendt and Xinwen Zhu for helpful conversations\r\nabout the results. I would moreover like to thank the referee for the very useful comments.","publication_identifier":{"issn":["1073-7928"],"eissn":["1687-0247"]},"volume":2026,"article_type":"original","_id":"21751","OA_place":"publisher","scopus_import":"1","doi":"10.1093/imrn/rnag058","author":[{"first_name":"Jakub","last_name":"Löwit","full_name":"Löwit, Jakub","id":"e3b80ae2-eb8e-11eb-b029-9aef4a9108a0"}],"date_created":"2026-04-19T22:07:48Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa":1,"date_published":"2026-04-01T00:00:00Z","citation":{"apa":"Löwit, J. (2026). Equivariant localizing invariants of simple varieties. International Mathematics Research Notices. Oxford University Press. https://doi.org/10.1093/imrn/rnag058","ama":"Löwit J. Equivariant localizing invariants of simple varieties. International Mathematics Research Notices. 2026;2026(7). doi:10.1093/imrn/rnag058","chicago":"Löwit, Jakub. “Equivariant Localizing Invariants of Simple Varieties.” International Mathematics Research Notices. Oxford University Press, 2026. https://doi.org/10.1093/imrn/rnag058.","mla":"Löwit, Jakub. “Equivariant Localizing Invariants of Simple Varieties.” International Mathematics Research Notices, vol. 2026, no. 7, rnag058, Oxford University Press, 2026, doi:10.1093/imrn/rnag058.","short":"J. Löwit, International Mathematics Research Notices 2026 (2026).","ieee":"J. Löwit, “Equivariant localizing invariants of simple varieties,” International Mathematics Research Notices, vol. 2026, no. 7. Oxford University Press, 2026.","ista":"Löwit J. 2026. Equivariant localizing invariants of simple varieties. International Mathematics Research Notices. 2026(7), rnag058."},"arxiv":1,"language":[{"iso":"eng"}],"ddc":["510"],"date_updated":"2026-05-06T06:36:25Z","file":[{"date_updated":"2026-05-06T06:35:05Z","file_size":1663246,"content_type":"application/pdf","success":1,"relation":"main_file","file_id":"21803","date_created":"2026-05-06T06:35:05Z","file_name":"2026_IMRN_Loewit.pdf","checksum":"306f4567b7b2dcf38e23f7b55a27514e","creator":"dernst","access_level":"open_access"}],"status":"public","PlanS_conform":"1","external_id":{"arxiv":["2507.09392"]},"article_number":"rnag058","publication":"International Mathematics Research Notices","department":[{"_id":"TaHa"}],"has_accepted_license":"1","article_processing_charge":"Yes (via OA deal)","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png"},"year":"2026","project":[{"name":"Arithmetic, geometry, topology and representation theory arising from the affine Grassmannian","grant_number":"27004","_id":"901e2a43-16d5-11f0-9cad-9cead34748d6"}],"type":"journal_article","corr_author":"1","month":"04","publisher":"Oxford University Press","day":"01","issue":"7","OA_type":"hybrid"},{"date_created":"2026-05-31T22:02:13Z","author":[{"full_name":"Edelsbrunner, Herbert","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","first_name":"Herbert","last_name":"Edelsbrunner","orcid":"0000-0002-9823-6833"},{"id":"35638A5C-AAC7-11E9-B0BF-5503E6697425","full_name":"Fillmore, Christopher D","last_name":"Fillmore","first_name":"Christopher D"},{"last_name":"Oliveira","first_name":"Goncalo","id":"58abbde8-f455-11eb-a497-98c8fd71b905","full_name":"Oliveira, Goncalo"}],"doi":"10.1112/plms.70163","OA_place":"repository","scopus_import":"1","_id":"21931","arxiv":1,"citation":{"chicago":"Edelsbrunner, Herbert, Christopher D Fillmore, and Goncalo Oliveira. “Counting Equilibria of the Electrostatic Potential.” Proceedings of the London Mathematical Society. Wiley, 2026. https://doi.org/10.1112/plms.70163.","short":"H. Edelsbrunner, C.D. Fillmore, G. Oliveira, Proceedings of the London Mathematical Society 132 (2026).","mla":"Edelsbrunner, Herbert, et al. “Counting Equilibria of the Electrostatic Potential.” Proceedings of the London Mathematical Society, vol. 132, no. 5, e70163, Wiley, 2026, doi:10.1112/plms.70163.","ama":"Edelsbrunner H, Fillmore CD, Oliveira G. Counting equilibria of the electrostatic potential. Proceedings of the London Mathematical Society. 2026;132(5). doi:10.1112/plms.70163","apa":"Edelsbrunner, H., Fillmore, C. D., & Oliveira, G. (2026). Counting equilibria of the electrostatic potential. Proceedings of the London Mathematical Society. Wiley. https://doi.org/10.1112/plms.70163","ista":"Edelsbrunner H, Fillmore CD, Oliveira G. 2026. Counting equilibria of the electrostatic potential. Proceedings of the London Mathematical Society. 132(5), e70163.","ieee":"H. Edelsbrunner, C. D. Fillmore, and G. Oliveira, “Counting equilibria of the electrostatic potential,” Proceedings of the London Mathematical Society, vol. 132, no. 5. Wiley, 2026."},"date_published":"2026-05-01T00:00:00Z","oa":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","intvolume":" 132","article_type":"original","publication_identifier":{"issn":["0024-6115"],"eissn":["1460-244X"]},"volume":132,"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2501.05315"}],"quality_controlled":"1","abstract":[{"lang":"eng","text":"In 1873, James C. Maxwell conjectured that the electric field generated by n point charges in generic position has at most (n-1)^2 isolated zeroes. The first (nonoptimal) upper bound was only obtained in 2007 by Gabrielov, Novikov, and Shapiro, who also posed two additional interesting conjectures. In this article, we give the best upper bound known to date on the number of zeroes of the electric field, and construct a counterexample to Conjecture 1.8 by Gabrielov, Novikov, and Shapiro that the number of equilibria cannot exceed those of the distance function defined by the unit point charges. Finally, we note that it is quite possible that Maxwell's quadratic upper bound is not tight, so it is prudent to find lower bounds. Hence, we also explore examples and construct configurations of charges achieving the highest ratios of the number of electric field zeroes by point charges found to this day."}],"publication_status":"published","title":"Counting equilibria of the electrostatic potential","oa_version":"Preprint","publisher":"Wiley","month":"05","corr_author":"1","OA_type":"green","issue":"5","day":"01","type":"journal_article","year":"2026","article_number":"e70163","external_id":{"arxiv":["2501.05315"]},"status":"public","article_processing_charge":"No","department":[{"_id":"HeEd"},{"_id":"TaHa"}],"publication":"Proceedings of the London Mathematical Society","language":[{"iso":"eng"}],"related_material":{"record":[{"id":"21050","status":"public","relation":"earlier_version"}]},"date_updated":"2026-06-02T09:24:18Z"},{"author":[{"first_name":"Jakub","last_name":"Löwit","full_name":"Löwit, Jakub","id":"e3b80ae2-eb8e-11eb-b029-9aef4a9108a0"}],"doi":"10.1016/j.jalgebra.2024.08.033","date_created":"2024-09-29T22:01:37Z","_id":"18154","scopus_import":"1","OA_place":"publisher","oa":1,"date_published":"2025-02-01T00:00:00Z","citation":{"ieee":"J. Löwit, “On modulo ℓ cohomology of p-adic Deligne–Lusztig varieties for GLn,” Journal of Algebra, vol. 663, no. 2. Elsevier, pp. 81–118, 2025.","ista":"Löwit J. 2025. On modulo ℓ cohomology of p-adic Deligne–Lusztig varieties for GLn. Journal of Algebra. 663(2), 81–118.","apa":"Löwit, J. (2025). On modulo ℓ cohomology of p-adic Deligne–Lusztig varieties for GLn. Journal of Algebra. Elsevier. https://doi.org/10.1016/j.jalgebra.2024.08.033","short":"J. Löwit, Journal of Algebra 663 (2025) 81–118.","mla":"Löwit, Jakub. “On modulo ℓ Cohomology of P-Adic Deligne–Lusztig Varieties for GLn.” Journal of Algebra, vol. 663, no. 2, Elsevier, 2025, pp. 81–118, doi:10.1016/j.jalgebra.2024.08.033.","chicago":"Löwit, Jakub. “On modulo ℓ Cohomology of P-Adic Deligne–Lusztig Varieties for GLn.” Journal of Algebra. Elsevier, 2025. https://doi.org/10.1016/j.jalgebra.2024.08.033.","ama":"Löwit J. On modulo ℓ cohomology of p-adic Deligne–Lusztig varieties for GLn. Journal of Algebra. 2025;663(2):81-118. doi:10.1016/j.jalgebra.2024.08.033"},"arxiv":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","intvolume":" 663","volume":663,"publication_identifier":{"eissn":["1090-266X"],"issn":["0021-8693"]},"article_type":"original","page":"81-118","file_date_updated":"2025-01-13T08:57:57Z","quality_controlled":"1","abstract":[{"text":"In 1976, Deligne and Lusztig realized the representation theory of finite groups of Lie type inside étale cohomology of certain algebraic varieties. Recently, a p-adic version of this theory started to emerge: there are p-adic Deligne–Lusztig spaces, whose cohomology encodes representation theoretic information for p-adic groups – for instance, it partially realizes the local Langlands correspondence with characteristic zero coefficients. However, the parallel case of coefficients of positive characteristic ℓ≠p has not been inspected so far. The purpose of this article is to initiate such an inspection. In particular, we relate cohomology of certain p-adic Deligne–Lusztig spaces to Vignéras's modular local Langlands correspondence for GLn.","lang":"eng"}],"publication_status":"published","title":"On modulo ℓ cohomology of p-adic Deligne–Lusztig varieties for GLn","oa_version":"Published Version","publisher":"Elsevier","corr_author":"1","month":"02","issue":"2","day":"01","OA_type":"hybrid","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png"},"type":"journal_article","year":"2025","external_id":{"arxiv":["2404.11176"],"isi":["001325207800001"]},"status":"public","article_processing_charge":"Yes (via OA deal)","publication":"Journal of Algebra","department":[{"_id":"TaHa"}],"has_accepted_license":"1","isi":1,"language":[{"iso":"eng"}],"ddc":["510"],"file":[{"relation":"main_file","creator":"dernst","access_level":"open_access","file_id":"18830","checksum":"eb240e93c178e48429ad918c9058f1fe","file_name":"2024_JourAlgebra_Loewit.pdf","date_created":"2025-01-13T08:57:57Z","success":1,"content_type":"application/pdf","date_updated":"2025-01-13T08:57:57Z","file_size":731175}],"date_updated":"2025-02-27T12:32:40Z"},{"article_processing_charge":"Yes","publication":"Journal of the European Mathematical Society","department":[{"_id":"TaHa"}],"isi":1,"external_id":{"isi":["001608254800001"],"arxiv":["2212.10695"]},"status":"public","date_updated":"2026-02-19T09:24:54Z","language":[{"iso":"eng"}],"day":"20","OA_type":"gold","publisher":"EMS Press","corr_author":"1","month":"03","type":"journal_article","project":[{"_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c","grant_number":"101034413","name":"IST-BRIDGE: International postdoctoral program","call_identifier":"H2020"}],"year":"2025","ec_funded":1,"quality_controlled":"1","main_file_link":[{"url":"https://doi.org/10.4171/JEMS/1601","open_access":"1"}],"DOAJ_listed":"1","publication_status":"epub_ahead","oa_version":"Published Version","title":"Complex K-theory of moduli spaces of Higgs bundles","abstract":[{"lang":"eng","text":"We establish an isomorphism of complex K-theory of the moduli space M of “SL n ”-Higgs bundles of degree d and rank n (in the sense of Hausel–Thaddeus) and twisted complex K-theory of the orbifold M of PGL n -Higgs bundles of degree e, where (n,d)=(n,e)=1. Along the way, we prove the vanishing of torsion for H ∗ ( M ) and certain twisted complex K-theory groups of M . We also extend Arinkin’s autoduality of compactified Jacobian to a derived equivalence between SL n - and PGL n -Hitchin systems over the elliptic locus. In the appendix, we develop a formalism of G-sheaves of spectra, generalising equivariant homotopy theory to a relative setting."}],"date_published":"2025-03-20T00:00:00Z","oa":1,"arxiv":1,"citation":{"ista":"Groechenig M, Shen S. 2025. Complex K-theory of moduli spaces of Higgs bundles. Journal of the European Mathematical Society.","ieee":"M. Groechenig and S. Shen, “Complex K-theory of moduli spaces of Higgs bundles,” Journal of the European Mathematical Society. EMS Press, 2025.","ama":"Groechenig M, Shen S. Complex K-theory of moduli spaces of Higgs bundles. Journal of the European Mathematical Society. 2025. doi:10.4171/jems/1601","short":"M. Groechenig, S. Shen, Journal of the European Mathematical Society (2025).","mla":"Groechenig, Michael, and Shiyu Shen. “Complex K-Theory of Moduli Spaces of Higgs Bundles.” Journal of the European Mathematical Society, EMS Press, 2025, doi:10.4171/jems/1601.","chicago":"Groechenig, Michael, and Shiyu Shen. “Complex K-Theory of Moduli Spaces of Higgs Bundles.” Journal of the European Mathematical Society. EMS Press, 2025. https://doi.org/10.4171/jems/1601.","apa":"Groechenig, M., & Shen, S. (2025). Complex K-theory of moduli spaces of Higgs bundles. Journal of the European Mathematical Society. EMS Press. https://doi.org/10.4171/jems/1601"},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","doi":"10.4171/jems/1601","date_created":"2025-07-21T07:54:50Z","author":[{"full_name":"Groechenig, Michael","last_name":"Groechenig","first_name":"Michael"},{"last_name":"Shen","orcid":"0000-0002-4444-8718","first_name":"Shiyu","id":"544cccd3-9005-11ec-87bc-94aef1c5b814","full_name":"Shen, Shiyu"}],"_id":"20043","OA_place":"publisher","publication_identifier":{"eissn":["1435-9863"],"issn":["1435-9855"]},"article_type":"original","acknowledgement":"It is a pleasure to thank Tom Baird for sharing his insights about vanishing of torsion for H.M{1\r\n2/. Furthermore, we would like to thank him for bringing [25] to our attention. We also thank Alexander Kupers for enlightening conversations about the Atiyah–Hirzebruch spectral sequence and for pointing out a reference. We are grateful to Victoria Hoskins and Simon Pepin-Lehalleur for sharing a preprint of their recent paper on a motivic version of topological mirror symmetry and for useful remarks on Section 6. Anne Larsen pointed out that our previous proof Lemma 4.5 was incomplete, we thank her for bringing this to our attention. We are grateful to the anonymous referee for many valuable comments that have improved the paper tremendously. The report we received was one of the most detailed referee report either of us has ever seen. We thank them for their hard work and the resulting contribution to this paper. Michael Groechenig was supported by an NSERC discovery grant and an Alfred P. Sloan\r\nfellowship. Shiyu Shen has received funding from the European Union’s Horizon 2020 research\r\nand innovation program under the Marie Skłodowska-Curie grant agreement No. 101034413."},{"language":[{"iso":"eng"}],"related_material":{"record":[{"relation":"earlier_version","id":"17157","status":"public"}]},"ddc":["510"],"date_updated":"2025-04-15T06:31:58Z","file":[{"success":1,"content_type":"application/pdf","file_size":3276395,"date_updated":"2025-02-25T06:53:27Z","access_level":"open_access","creator":"dernst","file_name":"2025_Epiga_Hausel.pdf","date_created":"2025-02-25T06:53:27Z","checksum":"3915c6f117461502f7103878460428df","file_id":"19085","relation":"main_file"}],"status":"public","article_number":"1","external_id":{"arxiv":["2212.11836"]},"department":[{"_id":"TaHa"}],"has_accepted_license":"1","publication":"Epijournal de Geometrie Algebrique","article_processing_charge":"Yes","tmp":{"short":"CC BY-SA (4.0)","name":"Creative Commons Attribution-ShareAlike 4.0 International Public License (CC BY-SA 4.0)","legal_code_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","image":"/images/cc_by_sa.png"},"year":"2025","project":[{"_id":"34b2c9cb-11ca-11ed-8bc3-a50ba74ca4a3","name":"Geometry of the tip of the global nilpotent cone","grant_number":"P35847"},{"grant_number":"26525","name":"Topology of open smooth varieties with a torus action","_id":"34cd0f74-11ca-11ed-8bc3-bf0492a14a24"}],"type":"journal_article","month":"02","corr_author":"1","publisher":"EPI Sciences","license":"https://creativecommons.org/licenses/by-sa/4.0/","OA_type":"gold","day":"03","abstract":[{"text":"An action of a complex reductive group G on a smooth projective variety X is regular when all regular unipotent elements in G act with finitely many fixed points. Then the complex G\r\n-equivariant cohomology ring of X is isomorphic to the coordinate ring of a certain regular fixed point scheme. Examples include partial flag varieties, smooth Schubert varieties and Bott-Samelson varieties. We also show that a more general version of the fixed point scheme allows a generalisation to GKM spaces, such as toric varieties.","lang":"eng"}],"oa_version":"Published Version","title":"Spectrum of equivariant cohomology as a fixed point scheme","publication_status":"published","DOAJ_listed":"1","file_date_updated":"2025-02-25T06:53:27Z","quality_controlled":"1","acknowledgement":"The first author was supported by an FWF grant “Geometry of the top of the nilpotent cone” number P 35847. The second author was supported by an Austrian Academy of Sciences DOC Fellowship “Topology of open smooth varieties with a torus action”. ","intvolume":" 9","article_type":"original","publication_identifier":{"eissn":["2491-6765"]},"volume":9,"scopus_import":"1","OA_place":"publisher","_id":"19071","doi":"10.46298/epiga.2025.12591","date_created":"2025-02-23T23:01:56Z","author":[{"id":"4A0666D8-F248-11E8-B48F-1D18A9856A87","full_name":"Hausel, Tamás","last_name":"Hausel","orcid":"0000-0002-9582-2634","first_name":"Tamás"},{"last_name":"Rychlewicz","first_name":"Kamil P","id":"85A07246-A8BF-11E9-B4FA-D9E3E5697425","full_name":"Rychlewicz, Kamil P"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","arxiv":1,"citation":{"mla":"Hausel, Tamás, and Kamil P. Rychlewicz. “Spectrum of Equivariant Cohomology as a Fixed Point Scheme.” Epijournal de Geometrie Algebrique, vol. 9, 1, EPI Sciences, 2025, doi:10.46298/epiga.2025.12591.","short":"T. Hausel, K.P. Rychlewicz, Epijournal de Geometrie Algebrique 9 (2025).","chicago":"Hausel, Tamás, and Kamil P Rychlewicz. “Spectrum of Equivariant Cohomology as a Fixed Point Scheme.” Epijournal de Geometrie Algebrique. EPI Sciences, 2025. https://doi.org/10.46298/epiga.2025.12591.","ama":"Hausel T, Rychlewicz KP. Spectrum of equivariant cohomology as a fixed point scheme. Epijournal de Geometrie Algebrique. 2025;9. doi:10.46298/epiga.2025.12591","apa":"Hausel, T., & Rychlewicz, K. P. (2025). Spectrum of equivariant cohomology as a fixed point scheme. Epijournal de Geometrie Algebrique. EPI Sciences. https://doi.org/10.46298/epiga.2025.12591","ista":"Hausel T, Rychlewicz KP. 2025. Spectrum of equivariant cohomology as a fixed point scheme. Epijournal de Geometrie Algebrique. 9, 1.","ieee":"T. Hausel and K. P. Rychlewicz, “Spectrum of equivariant cohomology as a fixed point scheme,” Epijournal de Geometrie Algebrique, vol. 9. EPI Sciences, 2025."},"date_published":"2025-02-03T00:00:00Z","oa":1},{"author":[{"first_name":"Nikolay","last_name":"Nessonov","full_name":"Nessonov, Nikolay"},{"full_name":"Ngo, Nhok T","id":"28e53c8c-896a-11ed-bdf8-f809043ce2f0","first_name":"Nhok T","last_name":"Ngo"}],"doi":"10.1090/ert/689","date_created":"2025-04-24T08:48:05Z","_id":"19621","OA_place":"publisher","scopus_import":"1","oa":1,"date_published":"2025-04-10T00:00:00Z","arxiv":1,"citation":{"apa":"Nessonov, N., & Ngo, N. T. (2025). Indecomposable characters of inductive limits of symmetric groups. Representation Theory. American Mathematical Society. https://doi.org/10.1090/ert/689","mla":"Nessonov, Nikolay, and Nhok T. Ngo. “Indecomposable Characters of Inductive Limits of Symmetric Groups.” Representation Theory, vol. 29, no. 8, American Mathematical Society, 2025, pp. 256–88, doi:10.1090/ert/689.","chicago":"Nessonov, Nikolay, and Nhok T Ngo. “Indecomposable Characters of Inductive Limits of Symmetric Groups.” Representation Theory. American Mathematical Society, 2025. https://doi.org/10.1090/ert/689.","short":"N. Nessonov, N.T. Ngo, Representation Theory 29 (2025) 256–288.","ama":"Nessonov N, Ngo NT. Indecomposable characters of inductive limits of symmetric groups. Representation Theory. 2025;29(8):256-288. doi:10.1090/ert/689","ieee":"N. Nessonov and N. T. Ngo, “Indecomposable characters of inductive limits of symmetric groups,” Representation Theory, vol. 29, no. 8. American Mathematical Society, pp. 256–288, 2025.","ista":"Nessonov N, Ngo NT. 2025. Indecomposable characters of inductive limits of symmetric groups. Representation Theory. 29(8), 256–288."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","intvolume":" 29","acknowledgement":"The authors were partially supported by the “Long-term program of support of the Ukrainian research teams at the Polish Academy of Sciences carried out in collaboration with the U.S. National Academy of Sciences with the financial support of external partners”. The second author was also supported by the Austrian Science Fund (FWF) grant “Geometry of the tip of the global nilpotent cone” no. 10.55776/P35847","volume":29,"publication_identifier":{"issn":["1088-4165"]},"article_type":"original","page":"256-288","quality_controlled":"1","file_date_updated":"2025-05-05T06:57:49Z","abstract":[{"lang":"eng","text":"In this paper we obtain a complete description of all indecomposable characters (central positive-definite functions) of inductive limits of the symmetric groups under block diagonal embedding. As a corollary we obtain the full classification of the isomorphism classes of these inductive limits."}],"publication_status":"published","oa_version":"Published Version","title":"Indecomposable characters of inductive limits of symmetric groups","publisher":"American Mathematical Society","corr_author":"1","month":"04","issue":"8","day":"10","license":"https://creativecommons.org/licenses/by/3.0/","OA_type":"hybrid","tmp":{"name":"Creative Commons Attribution 3.0 Unported (CC BY 3.0)","short":"CC BY (3.0)","legal_code_url":"https://creativecommons.org/licenses/by/3.0/legalcode","image":"/images/cc_by.png"},"project":[{"name":"Geometry of the tip of the global nilpotent cone","grant_number":"P35847","_id":"34b2c9cb-11ca-11ed-8bc3-a50ba74ca4a3"}],"type":"journal_article","year":"2025","external_id":{"arxiv":["2206.01964"]},"status":"public","article_processing_charge":"Yes (in subscription journal)","publication":"Representation Theory","has_accepted_license":"1","department":[{"_id":"GradSch"},{"_id":"TaHa"}],"language":[{"iso":"eng"}],"ddc":["510"],"file":[{"checksum":"f6541ea1736a7413c6d24f14d64a4dda","file_id":"19644","file_name":"2025_RepresentationTheory_Nessonov.pdf","date_created":"2025-05-05T06:57:49Z","access_level":"open_access","creator":"dernst","relation":"main_file","content_type":"application/pdf","file_size":424364,"date_updated":"2025-05-05T06:57:49Z","success":1}],"date_updated":"2025-05-05T06:59:07Z"},{"acknowledgement":"First and foremost, we are grateful to the conference organizers who have provided data, either in the form of tables or by pointing us to abstract books. We thank the reviewers and the handling editor (Gottfried Otting) for the careful reading and suggestions. This project emerged from an interactive course about energy and climate, held at IST Austria by Jeroen Dobbelaere, Georgios Katsaros and Paul Schanda. We are grateful to ISTA's Graduate School for enabling this interdisciplinary course and to all participating students. We thank the following persons for discussions and/or comments about the manuscript: Helene Van Melckebeke, Mei Hong, Jeff Hoch, Gottfried Otting and Matthias Ernst. For the preparation of the manuscript, AI tools have been used, namely for finding relevant literature (ChatGPT) and for correcting the text (Writefull, within Overleaf LaTeX).","intvolume":" 6","article_type":"original","publication_identifier":{"eissn":["2699-0016"]},"volume":6,"doi":"10.5194/mr-6-243-2025","date_created":"2025-11-23T23:01:39Z","author":[{"last_name":"Kapoor","orcid":"0000-0001-8319-2148","first_name":"Lucky","id":"84b9700b-15b2-11ec-abd3-831089e67615","full_name":"Kapoor, Lucky"},{"first_name":"Natalia","last_name":"Ruzickova","full_name":"Ruzickova, Natalia","id":"D2761128-D73D-11E9-A1BF-BA0DE6697425"},{"last_name":"Zivadinovic","first_name":"Predrag","id":"68AA0E5A-AFDA-11E9-9994-141DE6697425","full_name":"Zivadinovic, Predrag"},{"id":"4c665ce3-0016-11ec-bea0-e44de7a4fa3d","full_name":"Leitner, Valentin","last_name":"Leitner","first_name":"Valentin"},{"first_name":"Maria A","last_name":"Sisak","full_name":"Sisak, Maria A","id":"44A03D04-AEA4-11E9-B225-EA2DE6697425"},{"full_name":"Mweka, Cecelia N","id":"2a69ab4b-896a-11ed-bdf8-cb8641cf2b21","first_name":"Cecelia N","last_name":"Mweka"},{"full_name":"Dobbelaere, Jeroen A","id":"c15a5412-de82-11ed-b809-8dc1aa996e40","first_name":"Jeroen A","last_name":"Dobbelaere"},{"id":"38DB5788-F248-11E8-B48F-1D18A9856A87","full_name":"Katsaros, Georgios","orcid":"0000-0001-8342-202X","last_name":"Katsaros","first_name":"Georgios"},{"id":"7B541462-FAF6-11E9-A490-E8DFE5697425","full_name":"Schanda, Paul","orcid":"0000-0002-9350-7606","last_name":"Schanda","first_name":"Paul"}],"OA_place":"publisher","scopus_import":"1","_id":"20664","citation":{"ista":"Kapoor L, Ruzickova N, Zivadinovic P, Leitner V, Sisak MA, Mweka CN, Dobbelaere JA, Katsaros G, Schanda P. 2025. Quantifying the carbon footprint of conference travel: The case of NMR meetings. Magnetic Resonance. 6(2), 243–256.","ieee":"L. Kapoor et al., “Quantifying the carbon footprint of conference travel: The case of NMR meetings,” Magnetic Resonance, vol. 6, no. 2. Copernicus Publications, pp. 243–256, 2025.","chicago":"Kapoor, Lucky, Natalia Ruzickova, Predrag Zivadinovic, Valentin Leitner, Maria A Sisak, Cecelia N Mweka, Jeroen A Dobbelaere, Georgios Katsaros, and Paul Schanda. “Quantifying the Carbon Footprint of Conference Travel: The Case of NMR Meetings.” Magnetic Resonance. Copernicus Publications, 2025. https://doi.org/10.5194/mr-6-243-2025.","mla":"Kapoor, Lucky, et al. “Quantifying the Carbon Footprint of Conference Travel: The Case of NMR Meetings.” Magnetic Resonance, vol. 6, no. 2, Copernicus Publications, 2025, pp. 243–56, doi:10.5194/mr-6-243-2025.","short":"L. Kapoor, N. Ruzickova, P. Zivadinovic, V. Leitner, M.A. Sisak, C.N. Mweka, J.A. Dobbelaere, G. Katsaros, P. Schanda, Magnetic Resonance 6 (2025) 243–256.","ama":"Kapoor L, Ruzickova N, Zivadinovic P, et al. Quantifying the carbon footprint of conference travel: The case of NMR meetings. Magnetic Resonance. 2025;6(2):243-256. doi:10.5194/mr-6-243-2025","apa":"Kapoor, L., Ruzickova, N., Zivadinovic, P., Leitner, V., Sisak, M. A., Mweka, C. N., … Schanda, P. (2025). Quantifying the carbon footprint of conference travel: The case of NMR meetings. Magnetic Resonance. Copernicus Publications. https://doi.org/10.5194/mr-6-243-2025"},"oa":1,"date_published":"2025-11-10T00:00:00Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","abstract":[{"lang":"eng","text":"Conference travel contributes to the climate footprint of academic research. Here, we provide a quantitative estimate of the carbon emissions associated with conference attendance by analyzing travel data from participants of 10 international conferences in the field of magnetic resonance, namely EUROMAR, ENC and ICMRBS. We find that attending a EUROMAR conference produces, on average, more than 1 t CO2 eq.. For the analyzed conferences outside Europe, the corresponding value is about 2–3 times higher, on average, with intercontinental trips amounting to up to 5 t. We compare these conference-related emissions to other activities associated with research and show that conference travel is a substantial portion of the total climate footprint of a researcher in magnetic resonance. We explore several strategies to reduce these emissions, including the impact of selecting conference venues more strategically and the possibility of decentralized conferences. Through a detailed comparison of train versus air travel – accounting for both direct and infrastructure-related emissions – we demonstrate that train travel offers considerable carbon savings. These data may provide a basis for strategic choices of future conferences in the field and for individuals deciding on their conference attendance."}],"publication_status":"published","DOAJ_listed":"1","oa_version":"Published Version","title":"Quantifying the carbon footprint of conference travel: The case of NMR meetings","page":"243-256","quality_controlled":"1","file_date_updated":"2025-11-24T08:25:19Z","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png"},"APC_amount":"1260 EUR","project":[{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"type":"journal_article","year":"2025","publisher":"Copernicus Publications","month":"11","corr_author":"1","OA_type":"gold","issue":"2","day":"10","language":[{"iso":"eng"}],"related_material":{"link":[{"description":"News on ISTA website","url":"https://ista.ac.at/en/news/carbon-footprint-of-conference-travel/","relation":"research_data"}],"record":[{"relation":"research_data","id":"20242","status":"public"}]},"date_updated":"2026-05-20T08:01:13Z","ddc":["000"],"file":[{"relation":"main_file","creator":"dernst","access_level":"open_access","checksum":"c63dd47b0e77f9451821436bb77d27c9","file_id":"20672","date_created":"2025-11-24T08:25:19Z","file_name":"2025_MagneticResonance_Kapoor.pdf","success":1,"date_updated":"2025-11-24T08:25:19Z","file_size":3081399,"content_type":"application/pdf"}],"PlanS_conform":"1","status":"public","article_processing_charge":"Yes","department":[{"_id":"JoFi"},{"_id":"GaTk"},{"_id":"JoCs"},{"_id":"EvBe"},{"_id":"TaHa"},{"_id":"GradSch"},{"_id":"GeKa"},{"_id":"PaSc"}],"has_accepted_license":"1","publication":"Magnetic Resonance"},{"corr_author":"1","month":"09","publisher":"National Academy of Sciences","issue":"38","day":"17","OA_type":"hybrid","APC_amount":"2742,92 EUR","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png"},"year":"2024","type":"journal_article","project":[{"_id":"34b2c9cb-11ca-11ed-8bc3-a50ba74ca4a3","grant_number":"P35847","name":"Geometry of the tip of the global nilpotent cone"}],"status":"public","external_id":{"pmid":["39259592"]},"article_number":"e2319341121","publication":"Proceedings of the National Academy of Sciences of the United States of America","department":[{"_id":"TaHa"}],"has_accepted_license":"1","article_processing_charge":"Yes (in subscription journal)","related_material":{"link":[{"relation":"press_release","url":"https://ista.ac.at/en/news/big-algebras-a-dictionary-of-abstract-math/"}]},"language":[{"iso":"eng"}],"date_updated":"2025-05-08T09:57:59Z","ddc":["510"],"file":[{"success":1,"date_updated":"2024-09-23T11:22:56Z","file_size":3764695,"content_type":"application/pdf","relation":"main_file","creator":"dernst","access_level":"open_access","file_id":"18127","file_name":"2024_PNAS_Hausel.pdf","date_created":"2024-09-23T11:22:56Z","checksum":"df80c873633c6734d2e324841e69db58"}],"_id":"18108","OA_place":"publisher","scopus_import":"1","author":[{"id":"4A0666D8-F248-11E8-B48F-1D18A9856A87","full_name":"Hausel, Tamás","last_name":"Hausel","orcid":"0000-0002-9582-2634","first_name":"Tamás"}],"doi":"10.1073/pnas.2319341121","date_created":"2024-09-22T22:01:41Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa":1,"date_published":"2024-09-17T00:00:00Z","citation":{"apa":"Hausel, T. (2024). Commutative avatars of representations of semisimple Lie groups. Proceedings of the National Academy of Sciences of the United States of America. National Academy of Sciences. https://doi.org/10.1073/pnas.2319341121","chicago":"Hausel, Tamás. “Commutative Avatars of Representations of Semisimple Lie Groups.” Proceedings of the National Academy of Sciences of the United States of America. National Academy of Sciences, 2024. https://doi.org/10.1073/pnas.2319341121.","mla":"Hausel, Tamás. “Commutative Avatars of Representations of Semisimple Lie Groups.” Proceedings of the National Academy of Sciences of the United States of America, vol. 121, no. 38, e2319341121, National Academy of Sciences, 2024, doi:10.1073/pnas.2319341121.","short":"T. Hausel, Proceedings of the National Academy of Sciences of the United States of America 121 (2024).","ama":"Hausel T. Commutative avatars of representations of semisimple Lie groups. Proceedings of the National Academy of Sciences of the United States of America. 2024;121(38). doi:10.1073/pnas.2319341121","ieee":"T. Hausel, “Commutative avatars of representations of semisimple Lie groups,” Proceedings of the National Academy of Sciences of the United States of America, vol. 121, no. 38. National Academy of Sciences, 2024.","ista":"Hausel T. 2024. Commutative avatars of representations of semisimple Lie groups. Proceedings of the National Academy of Sciences of the United States of America. 121(38), e2319341121."},"intvolume":" 121","acknowledgement":"We thank Nigel Hitchin for discussions and the joint projects this paper has grown out from. We thank Vladyslav Zveryk for collaboration on Theorem 2.3 and on the corresponding Magma code which implements big algebras. We thank Hiraku Nakajima for discussions and pointing out Theorem 3.1.2, a result generalizing our original observation in the= = 0 case. Special thanks go to Leonid Rybnikov for patiently explaining his works, in particular crucial to Theorem 2.1. We thank Michel Brion, Michael Finkelberg, Oscar García-Prada, Jakub Löwit, Joel Kamnitzer, Friedrich Knop, Michael McBreen, Anton Mellit, Takuro Mochizuki, Shon Ngô, Kamil Rychlewicz, Shiyu Shen, Leslie Spencer, Balázs Szendr ˝ oi, András Szenes, and Oksana\r\nYakimova for comments and discussions. Kamil Rychlewicz and Daniel Bedats helped with the Mathematica files for the figures, and we used the SM_isospin Tikz package of Izaak Neutelings for drawing the baryon multiplets. We thank the referees for many useful comments. We acknowledge funding from FWF grant “Geometry of the tip of the global nilpotent cone” no. P 35847.","volume":121,"publication_identifier":{"eissn":["1091-6490"]},"article_type":"original","file_date_updated":"2024-09-23T11:22:56Z","quality_controlled":"1","abstract":[{"text":"Here we announce the construction and properties of a big commutative subalgebra of the Kirillov algebra attached to a finite dimensional irreducible representation of a complex semisimple Lie group. They are commutative finite flat algebras over the cohomology of the classifying space of the group. They are isomorphic with the equivariant intersection cohomology of affine Schubert varieties, endowing the latter with a new ring structure. Study of the finer aspects of the structure of the big algebras will also furnish the stalks of the intersection cohomology with ring structure, thus ringifying Lusztig’s q-weight multiplicity polynomials i.e., certain affine Kazhdan–Lusztig polynomials.","lang":"eng"}],"pmid":1,"title":"Commutative avatars of representations of semisimple Lie groups","oa_version":"Published Version","publication_status":"published"},{"tmp":{"short":"CC BY-SA (4.0)","name":"Creative Commons Attribution-ShareAlike 4.0 International Public License (CC BY-SA 4.0)","legal_code_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","image":"/images/cc_by_sa.png"},"year":"2024","type":"journal_article","month":"05","publisher":"EMS Press","OA_type":"hybrid","issue":"2","day":"05","language":[{"iso":"eng"}],"ddc":["500"],"date_updated":"2025-01-29T15:39:55Z","status":"public","department":[{"_id":"TaHa"}],"has_accepted_license":"1","publication":"Oberwolfach Reports","article_processing_charge":"No","acknowledgement":"The MFO and the workshop organizers would like to thank the\r\nNational Science Foundation for supporting the participation of junior researchers\r\nby the grant DMS-2230648, “US Junior Oberwolfach Fellows”. Moreover, the\r\nMFO and the workshop organizers would like to thank the Oberwolfach Foundation for supporting the participation of junior researchers in the Arbeitsgemeinschaft.","intvolume":" 21","article_type":"original","volume":21,"publication_identifier":{"eissn":["1660-8941"],"issn":["1660-8933"]},"OA_place":"publisher","_id":"18970","doi":"10.4171/owr/2024/16","author":[{"orcid":"0000-0002-9582-2634","last_name":"Hausel","first_name":"Tamás","id":"4A0666D8-F248-11E8-B48F-1D18A9856A87","full_name":"Hausel, Tamás"},{"last_name":"Maulik","first_name":"Davesh","full_name":"Maulik, Davesh"},{"full_name":"Mellit, Anton","first_name":"Anton","last_name":"Mellit"},{"first_name":"Olivier","last_name":"Schiffmann","full_name":"Schiffmann, Olivier"},{"last_name":"Shen","first_name":"Junliang","full_name":"Shen, Junliang"}],"date_created":"2025-01-29T15:34:22Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"short":"T. Hausel, D. Maulik, A. Mellit, O. Schiffmann, J. Shen, Oberwolfach Reports 21 (2024) 949–1004.","mla":"Hausel, Tamás, et al. “Arbeitsgemeinschaft: Geometry and Representation Theory around the P=W Conjecture.” Oberwolfach Reports, vol. 21, no. 2, EMS Press, 2024, pp. 949–1004, doi:10.4171/owr/2024/16.","chicago":"Hausel, Tamás, Davesh Maulik, Anton Mellit, Olivier Schiffmann, and Junliang Shen. “Arbeitsgemeinschaft: Geometry and Representation Theory around the P=W Conjecture.” Oberwolfach Reports. EMS Press, 2024. https://doi.org/10.4171/owr/2024/16.","ama":"Hausel T, Maulik D, Mellit A, Schiffmann O, Shen J. Arbeitsgemeinschaft: Geometry and representation theory around the P=W conjecture. Oberwolfach Reports. 2024;21(2):949-1004. doi:10.4171/owr/2024/16","apa":"Hausel, T., Maulik, D., Mellit, A., Schiffmann, O., & Shen, J. (2024). Arbeitsgemeinschaft: Geometry and representation theory around the P=W conjecture. Oberwolfach Reports. EMS Press. https://doi.org/10.4171/owr/2024/16","ista":"Hausel T, Maulik D, Mellit A, Schiffmann O, Shen J. 2024. Arbeitsgemeinschaft: Geometry and representation theory around the P=W conjecture. Oberwolfach Reports. 21(2), 949–1004.","ieee":"T. Hausel, D. Maulik, A. Mellit, O. Schiffmann, and J. Shen, “Arbeitsgemeinschaft: Geometry and representation theory around the P=W conjecture,” Oberwolfach Reports, vol. 21, no. 2. EMS Press, pp. 949–1004, 2024."},"date_published":"2024-05-05T00:00:00Z","oa":1,"abstract":[{"text":"Given a smooth projective curve C, nonabelian Hodge theory gives a diffeomorphism between two different moduli spaces associated to C. The first is the moduli space of Higgs bundles on C of rank n, which is equipped with the structure of an algebraic completely integrable Hamiltonian system. The second is the character variety of representations of the fundamental group of C into GL(n). In 2012, de Cataldo, Hausel, and Migliorini [1] proposed the P=W conjecture which identifies the perverse filtration on the cohomology of the Higgs moduli space with the weight filtration on the cohomology of the character variety. Recently, in 2022, two independent proofs of the P=W Conjecture appeared, in work of Maulik &Shen [2] and Hausel, Mellit, Minets &Schiffmann [6]. The aim of the Arbeitsgemeinschaft was to understand the P=W Conjecture and these two recent proofs.","lang":"eng"}],"title":"Arbeitsgemeinschaft: Geometry and representation theory around the P=W conjecture","oa_version":"Published Version","publication_status":"published","main_file_link":[{"open_access":"1","url":"https://doi.org/10.4171/owr/2024/16"}],"page":"949-1004","quality_controlled":"1"},{"language":[{"iso":"eng"}],"date_updated":"2025-09-04T11:56:33Z","article_number":"20","external_id":{"isi":["001150684300001"],"arxiv":["1810.01818"]},"status":"public","article_processing_charge":"No","isi":1,"department":[{"_id":"TaHa"}],"publication":"Selecta Mathematica","type":"journal_article","year":"2024","publisher":"Springer Nature","month":"01","OA_type":"green","issue":"2","day":"27","abstract":[{"text":"In this paper we investigate locally free representations of a quiver Q over a commutative Frobenius algebra R by arithmetic Fourier transform. When the base field is finite we prove that the number of isomorphism classes of absolutely indecomposable locally free representations of fixed rank is independent of the orientation of Q. We also prove that the number of isomorphism classes of locally free absolutely indecomposable representations of the preprojective algebra of Q over R equals the number of isomorphism classes of locally free absolutely indecomposable representations of Q over R[t]/(t2). Using these results together with results of Geiss, Leclerc and Schröer we give, when k is algebraically closed, a classification of pairs (Q, R) such that the set of isomorphism classes of indecomposable locally free representations of Q over R is finite. Finally when the representation is free of rank 1 at each vertex of Q, we study the function that counts the number of isomorphism classes of absolutely indecomposable locally free representations of Q over the Frobenius algebra Fq[t]/(tr). We prove that they are polynomial in q and their generating function is rational and satisfies a functional equation.","lang":"eng"}],"publication_status":"published","title":"Locally free representations of quivers over commutative Frobenius algebras","oa_version":"Preprint","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.1810.01818"}],"quality_controlled":"1","acknowledgement":"Special thanks go to Christof Geiss, Bernard Leclerc and Jan Schröer for explaining their work but also for sharing some unpublished results with us. We also thank the referee for many useful suggestions. We would like to thank Tommaso Scognamiglio for pointing out a mistake in the proof of Proposition 5.17 in an earlier version of the paper. We would like also to thank Alexander Beilinson, Bill Crawley-Boevey, Joel Kamnitzer, and Peng Shan for useful discussions.","intvolume":" 30","article_type":"original","publication_identifier":{"eissn":["1420-9020"],"issn":["1022-1824"]},"volume":30,"date_created":"2024-02-04T23:00:53Z","author":[{"orcid":"0000-0002-9582-2634","last_name":"Hausel","first_name":"Tamás","id":"4A0666D8-F248-11E8-B48F-1D18A9856A87","full_name":"Hausel, Tamás"},{"full_name":"Letellier, Emmanuel","last_name":"Letellier","first_name":"Emmanuel"},{"last_name":"Rodriguez-Villegas","first_name":"Fernando","full_name":"Rodriguez-Villegas, Fernando"}],"doi":"10.1007/s00029-023-00914-2","scopus_import":"1","OA_place":"repository","_id":"14930","citation":{"mla":"Hausel, Tamás, et al. “Locally Free Representations of Quivers over Commutative Frobenius Algebras.” Selecta Mathematica, vol. 30, no. 2, 20, Springer Nature, 2024, doi:10.1007/s00029-023-00914-2.","chicago":"Hausel, Tamás, Emmanuel Letellier, and Fernando Rodriguez-Villegas. “Locally Free Representations of Quivers over Commutative Frobenius Algebras.” Selecta Mathematica. Springer Nature, 2024. https://doi.org/10.1007/s00029-023-00914-2.","short":"T. Hausel, E. Letellier, F. Rodriguez-Villegas, Selecta Mathematica 30 (2024).","ama":"Hausel T, Letellier E, Rodriguez-Villegas F. Locally free representations of quivers over commutative Frobenius algebras. Selecta Mathematica. 2024;30(2). doi:10.1007/s00029-023-00914-2","apa":"Hausel, T., Letellier, E., & Rodriguez-Villegas, F. (2024). Locally free representations of quivers over commutative Frobenius algebras. Selecta Mathematica. Springer Nature. https://doi.org/10.1007/s00029-023-00914-2","ista":"Hausel T, Letellier E, Rodriguez-Villegas F. 2024. Locally free representations of quivers over commutative Frobenius algebras. Selecta Mathematica. 30(2), 20.","ieee":"T. Hausel, E. Letellier, and F. Rodriguez-Villegas, “Locally free representations of quivers over commutative Frobenius algebras,” Selecta Mathematica, vol. 30, no. 2. Springer Nature, 2024."},"arxiv":1,"date_published":"2024-01-27T00:00:00Z","oa":1,"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345"},{"PlanS_conform":"1","external_id":{"arxiv":["1810.12491"],"isi":["001157898100001"]},"status":"public","article_processing_charge":"Yes (via OA deal)","publication":"International Mathematics Research Notices","department":[{"_id":"TaHa"}],"isi":1,"has_accepted_license":"1","language":[{"iso":"eng"}],"date_updated":"2025-09-09T08:30:06Z","file":[{"relation":"main_file","creator":"dernst","access_level":"open_access","file_id":"17308","checksum":"e3cd31ebb2e79b5b1f34d1c4ac9f5b0f","file_name":"2024_IMRN_Shen.pdf","date_created":"2024-07-22T11:41:57Z","success":1,"file_size":1488981,"date_updated":"2024-07-22T11:41:57Z","content_type":"application/pdf"}],"ddc":["510"],"publisher":"Oxford University Press","corr_author":"1","month":"04","day":"01","issue":"7","OA_type":"hybrid","ec_funded":1,"keyword":["General Mathematics"],"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png"},"type":"journal_article","project":[{"_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c","call_identifier":"H2020","name":"IST-BRIDGE: International postdoctoral program","grant_number":"101034413"}],"year":"2024","page":"6176-6208","file_date_updated":"2024-07-22T11:41:57Z","quality_controlled":"1","abstract":[{"lang":"eng","text":"We prove a version of the tamely ramified geometric Langlands correspondence in positive characteristic for GLn(k). Let k be an algebraically closed field of characteristic p>n. Let X be a smooth projective curve over k with marked points, and fix a parabolic subgroup of GLn(k) at each marked point. We denote by Bunn,P the moduli stack of (quasi-)parabolic vector bundles on X, and by Locn,P the moduli stack of parabolic flat connections such that the residue is nilpotent with respect to the parabolic reduction at each marked point. We construct an equivalence between the bounded derived category Db(Qcoh(Loc0n,P)) of quasi-coherent sheaves on an open substack Loc0n,P⊂Locn,P, and the bounded derived category Db(D0Bunn,P-mod) of D0Bunn,P-modules, where D0Bunn,P is a localization of DBunn,P the sheaf of crystalline differential operators on Bunn,P. Thus we extend the work of Bezrukavnikov-Braverman to the tamely ramified case. We also prove a correspondence between flat connections on X with regular singularities and meromorphic Higgs bundles on the Frobenius twist X(1) of X with first order poles ."}],"publication_status":"published","title":"Tamely ramified geometric Langlands correspondence in positive characteristic","oa_version":"Published Version","date_created":"2024-02-14T12:16:17Z","doi":"10.1093/imrn/rnae005","author":[{"full_name":"Shen, Shiyu","id":"544cccd3-9005-11ec-87bc-94aef1c5b814","first_name":"Shiyu","last_name":"Shen","orcid":"0000-0002-4444-8718"}],"_id":"14986","scopus_import":"1","OA_place":"publisher","date_published":"2024-04-01T00:00:00Z","oa":1,"citation":{"apa":"Shen, S. (2024). Tamely ramified geometric Langlands correspondence in positive characteristic. International Mathematics Research Notices. Oxford University Press. https://doi.org/10.1093/imrn/rnae005","ama":"Shen S. Tamely ramified geometric Langlands correspondence in positive characteristic. International Mathematics Research Notices. 2024;2024(7):6176-6208. doi:10.1093/imrn/rnae005","mla":"Shen, Shiyu. “Tamely Ramified Geometric Langlands Correspondence in Positive Characteristic.” International Mathematics Research Notices, vol. 2024, no. 7, Oxford University Press, 2024, pp. 6176–208, doi:10.1093/imrn/rnae005.","short":"S. Shen, International Mathematics Research Notices 2024 (2024) 6176–6208.","chicago":"Shen, Shiyu. “Tamely Ramified Geometric Langlands Correspondence in Positive Characteristic.” International Mathematics Research Notices. Oxford University Press, 2024. https://doi.org/10.1093/imrn/rnae005.","ieee":"S. Shen, “Tamely ramified geometric Langlands correspondence in positive characteristic,” International Mathematics Research Notices, vol. 2024, no. 7. Oxford University Press, pp. 6176–6208, 2024.","ista":"Shen S. 2024. Tamely ramified geometric Langlands correspondence in positive characteristic. International Mathematics Research Notices. 2024(7), 6176–6208."},"arxiv":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","intvolume":" 2024","acknowledgement":"This work was supported by the NSF [DMS-1502125to S.S.]; and the European Union’s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie grant agreement [101034413 to S.S.].\r\nI would like to thank my advisor Tom Nevins for many helpful discussions on this subject and for his comments on this paper. I would like to thank Christopher Dodd, Michael Groechenig, and Tamas Hausel for helpful conversations. I would like to thank Tsao-Hsien Chen for useful comments on an earlier version of this paper.","volume":2024,"publication_identifier":{"eissn":["1687-0247"],"issn":["1073-7928"]},"article_type":"original"},{"quality_controlled":"1","file_date_updated":"2024-07-22T12:10:03Z","abstract":[{"lang":"eng","text":"Applying the technique of p-adic integration, we prove the topological mirror symmetry conjecture of Hausel-Thaddeus for the moduli spaces of (strongly) parabolic Higgs bundles for the structure groups SLn and PGLn, building on previous work of Groechenig-Wyss-Ziegler on the non-parabolic case. We also prove the E-polynomial of the smooth moduli space of parabolic GLn-Higgs bundles is independent of the degree of the underlying vector bundles."}],"publication_status":"published","oa_version":"Published Version","title":"Mirror symmetry for parabolic Higgs bundles via p-adic integration","author":[{"orcid":"0000-0002-4444-8718","last_name":"Shen","first_name":"Shiyu","id":"544cccd3-9005-11ec-87bc-94aef1c5b814","full_name":"Shen, Shiyu"}],"date_created":"2024-03-31T22:01:11Z","doi":"10.1016/j.aim.2024.109616","OA_place":"publisher","scopus_import":"1","_id":"15248","arxiv":1,"citation":{"ieee":"S. Shen, “Mirror symmetry for parabolic Higgs bundles via p-adic integration,” Advances in Mathematics, vol. 443, no. 5. Elsevier, 2024.","ista":"Shen S. 2024. Mirror symmetry for parabolic Higgs bundles via p-adic integration. Advances in Mathematics. 443(5), 109616.","apa":"Shen, S. (2024). Mirror symmetry for parabolic Higgs bundles via p-adic integration. Advances in Mathematics. Elsevier. https://doi.org/10.1016/j.aim.2024.109616","ama":"Shen S. Mirror symmetry for parabolic Higgs bundles via p-adic integration. Advances in Mathematics. 2024;443(5). doi:10.1016/j.aim.2024.109616","mla":"Shen, Shiyu. “Mirror Symmetry for Parabolic Higgs Bundles via P-Adic Integration.” Advances in Mathematics, vol. 443, no. 5, 109616, Elsevier, 2024, doi:10.1016/j.aim.2024.109616.","short":"S. Shen, Advances in Mathematics 443 (2024).","chicago":"Shen, Shiyu. “Mirror Symmetry for Parabolic Higgs Bundles via P-Adic Integration.” Advances in Mathematics. Elsevier, 2024. https://doi.org/10.1016/j.aim.2024.109616."},"date_published":"2024-05-01T00:00:00Z","oa":1,"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","acknowledgement":"Shiyu Shen has received funding from the European Union's Horizon 2020 research and innovation program under the Marie Skłodowska-Curie grant agreement No. 101034413.","intvolume":" 443","article_type":"original","publication_identifier":{"eissn":["1090-2082"],"issn":["0001-8708"]},"volume":443,"article_number":"109616","external_id":{"isi":["001216128200001"],"arxiv":["2302.02817"]},"status":"public","article_processing_charge":"Yes (via OA deal)","has_accepted_license":"1","isi":1,"department":[{"_id":"TaHa"}],"publication":"Advances in Mathematics","language":[{"iso":"eng"}],"ddc":["510"],"date_updated":"2025-09-04T13:21:18Z","file":[{"date_updated":"2024-07-22T12:10:03Z","file_size":702889,"content_type":"application/pdf","success":1,"relation":"main_file","file_name":"2024_AdvancesMath_Shen.pdf","file_id":"17315","date_created":"2024-07-22T12:10:03Z","checksum":"68f2f08136ccf547891a16a2c0621e97","access_level":"open_access","creator":"dernst"}],"publisher":"Elsevier","month":"05","corr_author":"1","OA_type":"hybrid","day":"01","issue":"5","ec_funded":1,"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png"},"type":"journal_article","project":[{"name":"IST-BRIDGE: International postdoctoral program","call_identifier":"H2020","grant_number":"101034413","_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c"}],"year":"2024"},{"language":[{"iso":"eng"}],"date_updated":"2025-09-04T13:40:37Z","external_id":{"isi":["001251179200003"],"arxiv":["2303.01404"]},"article_number":"2441009","status":"public","article_processing_charge":"No","publication":"International Journal of Mathematics","department":[{"_id":"TaHa"}],"isi":1,"project":[{"_id":"34b2c9cb-11ca-11ed-8bc3-a50ba74ca4a3","grant_number":"P35847","name":"Geometry of the tip of the global nilpotent cone"}],"type":"journal_article","year":"2024","publisher":"World Scientific Publishing","month":"04","day":"04","issue":"09","abstract":[{"text":"We define even very stable Higgs bundles and study the Hitchin map restricted to their upward flows. In the GLn case, we classify the type (1,…,1) examples, and find that they are governed by a root system formed by the roots of even height. We discuss how the spectrum of equivariant cohomology of real and quaternionic Grassmannians, 4n-spheres and the real Cayley plane appear to describe the Hitchin map on even cominuscule upward flows. The even upward flows in question are the same as upward flows in Higgs bundle moduli spaces for quasi-split inner real forms. The latter spaces have been pioneered by Oscar García-Prada and his collaborators.","lang":"eng"}],"publication_status":"published","title":"Hitchin map on even very stable upward flows","oa_version":"Preprint","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2303.01404","open_access":"1"}],"quality_controlled":"1","intvolume":" 35","acknowledgement":"Most of the research for this paper was done when the first author visited the second author's group at IST Austria as a summer intern in 2022. The second author was supported by an FWF grant \"Geometry of the top of the nilpotent cone\" number P35847.","publication_identifier":{"issn":["0129-167X"],"eissn":["1793-6519"]},"volume":35,"article_type":"original","doi":"10.1142/S0129167X2441009X","date_created":"2024-04-21T22:00:54Z","author":[{"first_name":"Miguel","last_name":"González","full_name":"González, Miguel"},{"orcid":"0000-0002-9582-2634","last_name":"Hausel","first_name":"Tamás","id":"4A0666D8-F248-11E8-B48F-1D18A9856A87","full_name":"Hausel, Tamás"}],"_id":"15339","scopus_import":"1","oa":1,"date_published":"2024-04-04T00:00:00Z","citation":{"ista":"González M, Hausel T. 2024. Hitchin map on even very stable upward flows. International Journal of Mathematics. 35(09), 2441009.","ieee":"M. González and T. Hausel, “Hitchin map on even very stable upward flows,” International Journal of Mathematics, vol. 35, no. 09. World Scientific Publishing, 2024.","ama":"González M, Hausel T. Hitchin map on even very stable upward flows. International Journal of Mathematics. 2024;35(09). doi:10.1142/S0129167X2441009X","chicago":"González, Miguel, and Tamás Hausel. “Hitchin Map on Even Very Stable Upward Flows.” International Journal of Mathematics. World Scientific Publishing, 2024. https://doi.org/10.1142/S0129167X2441009X.","mla":"González, Miguel, and Tamás Hausel. “Hitchin Map on Even Very Stable Upward Flows.” International Journal of Mathematics, vol. 35, no. 09, 2441009, World Scientific Publishing, 2024, doi:10.1142/S0129167X2441009X.","short":"M. González, T. Hausel, International Journal of Mathematics 35 (2024).","apa":"González, M., & Hausel, T. (2024). Hitchin map on even very stable upward flows. International Journal of Mathematics. World Scientific Publishing. https://doi.org/10.1142/S0129167X2441009X"},"arxiv":1,"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345"},{"publication_identifier":{"issn":["0022-040X"]},"volume":126,"article_type":"original","intvolume":" 126","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","oa":1,"date_published":"2024-03-01T00:00:00Z","citation":{"ama":"Lotay JD, Oliveira G. Special Lagrangians, Lagrangian mean curvature flow and the Gibbons-Hawking ansatz. Journal of Differential Geometry. 2024;126(3):1121-1184. doi:10.4310/jdg/1717348872","mla":"Lotay, Jason D., and Goncalo Oliveira. “Special Lagrangians, Lagrangian Mean Curvature Flow and the Gibbons-Hawking Ansatz.” Journal of Differential Geometry, vol. 126, no. 3, International Press, 2024, pp. 1121–84, doi:10.4310/jdg/1717348872.","chicago":"Lotay, Jason D., and Goncalo Oliveira. “Special Lagrangians, Lagrangian Mean Curvature Flow and the Gibbons-Hawking Ansatz.” Journal of Differential Geometry. International Press, 2024. https://doi.org/10.4310/jdg/1717348872.","short":"J.D. Lotay, G. Oliveira, Journal of Differential Geometry 126 (2024) 1121–1184.","apa":"Lotay, J. D., & Oliveira, G. (2024). Special Lagrangians, Lagrangian mean curvature flow and the Gibbons-Hawking ansatz. Journal of Differential Geometry. International Press. https://doi.org/10.4310/jdg/1717348872","ista":"Lotay JD, Oliveira G. 2024. Special Lagrangians, Lagrangian mean curvature flow and the Gibbons-Hawking ansatz. Journal of Differential Geometry. 126(3), 1121–1184.","ieee":"J. D. Lotay and G. Oliveira, “Special Lagrangians, Lagrangian mean curvature flow and the Gibbons-Hawking ansatz,” Journal of Differential Geometry, vol. 126, no. 3. International Press, pp. 1121–1184, 2024."},"arxiv":1,"_id":"17292","scopus_import":"1","OA_place":"repository","author":[{"last_name":"Lotay","first_name":"Jason D.","full_name":"Lotay, Jason D."},{"id":"58abbde8-f455-11eb-a497-98c8fd71b905","full_name":"Oliveira, Goncalo","last_name":"Oliveira","first_name":"Goncalo"}],"doi":"10.4310/jdg/1717348872","date_created":"2024-07-22T07:45:31Z","oa_version":"Preprint","title":"Special Lagrangians, Lagrangian mean curvature flow and the Gibbons-Hawking ansatz","publication_status":"published","abstract":[{"lang":"eng","text":"The Gibbons-Hawking ansatz provides a large family of circle-invariant hyperkähler 4-manifolds, and thus Calabi-Yau 2-folds. In this setting, we prove versions of the Thomas conjecture on existence of special Lagrangian representatives of Hamiltonian isotopy classes of Lagrangians, and the Thomas-Yau conjecture on longtime existence of the Lagrangian mean curvature ow. We also make observations concerning closed geodesics, curve shortening flow and minimal surfaces."}],"quality_controlled":"1","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2002.10391","open_access":"1"}],"page":"1121-1184","year":"2024","type":"journal_article","day":"01","issue":"3","OA_type":"green","corr_author":"1","month":"03","publisher":"International Press","date_updated":"2025-09-08T08:27:51Z","language":[{"iso":"eng"}],"publication":"Journal of Differential Geometry","department":[{"_id":"TaHa"}],"isi":1,"article_processing_charge":"No","status":"public","external_id":{"isi":["001271790200007"],"arxiv":["2002.10391"]}},{"ec_funded":1,"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png"},"type":"journal_article","project":[{"grant_number":"101034413","name":"IST-BRIDGE: International postdoctoral program","call_identifier":"H2020","_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c"}],"year":"2024","publisher":"Springer Nature","corr_author":"1","month":"09","day":"09","language":[{"iso":"eng"}],"date_updated":"2025-09-08T08:56:08Z","ddc":["510"],"external_id":{"isi":["001287455300001"]},"status":"public","article_processing_charge":"Yes (via OA deal)","publication":"Transformation Groups","has_accepted_license":"1","department":[{"_id":"TaHa"}],"isi":1,"acknowledgement":"I would like to warmly thank Dimitri Wyss for his guidance and supervision and Nero Budur for helpful discussions and answering all my questions on his previous works. I would also like to thank Francesca Carocci, Ben Davison, Lucien Hennecart and Olivier Schiffmann for helpful remarks and discussions during the writing of this paper. Finally, I would like to thank the anonymous referees for their careful reading and suggesting improvements in the exposition.\r\nOpen access funding provided by Institute of Science and Technology (IST Austria). This work was supported by the Swiss National Science Foundation [No. 196960]. This project has also received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 101034413.","publication_identifier":{"eissn":["1531-586X"],"issn":["1083-4362"]},"article_type":"original","author":[{"id":"19f1e3bf-c59a-11ee-a1af-ed269948817b","full_name":"Vernet, Tanguy","last_name":"Vernet","first_name":"Tanguy"}],"date_created":"2024-08-18T22:01:04Z","doi":"10.1007/s00031-024-09873-0","_id":"17437","scopus_import":"1","oa":1,"date_published":"2024-09-09T00:00:00Z","citation":{"ama":"Vernet T. Rational singularities for moment maps of totally negative quivers. Transformation Groups. 2024. doi:10.1007/s00031-024-09873-0","chicago":"Vernet, Tanguy. “Rational Singularities for Moment Maps of Totally Negative Quivers.” Transformation Groups. Springer Nature, 2024. https://doi.org/10.1007/s00031-024-09873-0.","mla":"Vernet, Tanguy. “Rational Singularities for Moment Maps of Totally Negative Quivers.” Transformation Groups, Springer Nature, 2024, doi:10.1007/s00031-024-09873-0.","short":"T. Vernet, Transformation Groups (2024).","apa":"Vernet, T. (2024). Rational singularities for moment maps of totally negative quivers. Transformation Groups. Springer Nature. https://doi.org/10.1007/s00031-024-09873-0","ista":"Vernet T. 2024. Rational singularities for moment maps of totally negative quivers. Transformation Groups.","ieee":"T. Vernet, “Rational singularities for moment maps of totally negative quivers,” Transformation Groups. Springer Nature, 2024."},"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","abstract":[{"text":"We prove that the zero-fiber of the moment map of a totally negative quiver has rational singularities. Our proof consists in generalizing dimension bounds on jet spaces of this fiber, which were introduced by Budur. We also transfer the rational singularities property to other moduli spaces of objects in 2-Calabi-Yau categories, based on recent work of Davison. This has interesting arithmetic applications on quiver moment maps and moduli spaces of objects in 2-Calabi-Yau categories. First, we generalize results of Wyss on the asymptotic behaviour of counts of jets of quiver moment maps over finite fields. Moreover, we interpret the limit of counts of jets on a given moduli space as its p-adic volume under a canonical measure analogous to the measure built by Carocci, Orecchia and Wyss on certain moduli spaces of coherent sheaves.","lang":"eng"}],"publication_status":"epub_ahead","oa_version":"Published Version","title":"Rational singularities for moment maps of totally negative quivers","main_file_link":[{"url":"https://doi.org/10.1007/s00031-024-09873-0","open_access":"1"}],"quality_controlled":"1"},{"abstract":[{"lang":"eng","text":"In [KW06] Kapustin and Witten conjectured that there is a mirror symmetry relation between\r\nthe hyperkähler structures on certain Higgs bundle moduli spaces. As a consequence, they\r\nconjecture an equivalence between categories of BBB and BAA-branes. At the classical\r\nlevel, this mirror symmetry is given by T-duality between semi-flat hyperkähler structures on\r\nalgebraic integrable systems.\r\nIn this thesis, we investigate the T-duality relation between hyperkähler structures and the\r\ncorresponding branes on affine torus bundles. We use the techniques of generalized geometry\r\nto show that semi-flat hyperkähler structures are T-dual on algebraic integrable systems.\r\nWe also describe T-duality for generalized branes. Motivated by Fourier-Mukai transform\r\nwe upgrade the T-duality between generalized branes to T-duality of submanifolds endowed\r\nwith U(1)-bundles and connections. This T-duality in the appropriate context specializes to\r\nT-duality between BBB and BAA-branes.\r\n"}],"publication_status":"published","title":"T-dual branes on hyperkähler manifolds","oa_version":"Published Version","page":"178","file_date_updated":"2024-10-24T08:09:13Z","alternative_title":["ISTA Thesis"],"publication_identifier":{"issn":["2663-337X"]},"date_created":"2024-10-19T12:00:37Z","author":[{"last_name":"Sisak","first_name":"Maria A","id":"44A03D04-AEA4-11E9-B225-EA2DE6697425","full_name":"Sisak, Maria A"}],"doi":"10.15479/at:ista:18443","OA_place":"publisher","_id":"18443","citation":{"ieee":"M. A. Sisak, “T-dual branes on hyperkähler manifolds,” Institute of Science and Technology Austria, 2024.","ista":"Sisak MA. 2024. T-dual branes on hyperkähler manifolds. Institute of Science and Technology Austria.","apa":"Sisak, M. A. (2024). T-dual branes on hyperkähler manifolds. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:18443","chicago":"Sisak, Maria A. “T-Dual Branes on Hyperkähler Manifolds.” Institute of Science and Technology Austria, 2024. https://doi.org/10.15479/at:ista:18443.","short":"M.A. Sisak, T-Dual Branes on Hyperkähler Manifolds, Institute of Science and Technology Austria, 2024.","mla":"Sisak, Maria A. T-Dual Branes on Hyperkähler Manifolds. Institute of Science and Technology Austria, 2024, doi:10.15479/at:ista:18443.","ama":"Sisak MA. T-dual branes on hyperkähler manifolds. 2024. doi:10.15479/at:ista:18443"},"supervisor":[{"id":"4A0666D8-F248-11E8-B48F-1D18A9856A87","full_name":"Hausel, Tamás","last_name":"Hausel","orcid":"0000-0002-9582-2634","first_name":"Tamás"}],"oa":1,"date_published":"2024-10-24T00:00:00Z","user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","language":[{"iso":"eng"}],"file":[{"relation":"main_file","creator":"msisak","access_level":"open_access","checksum":"8c4893e726aaa4b3efb82758da9b6851","file_id":"18467","file_name":"MASisak_dissertation.pdf","date_created":"2024-10-23T14:42:45Z","success":1,"content_type":"application/pdf","date_updated":"2024-10-23T14:42:45Z","file_size":1672547},{"relation":"source_file","access_level":"closed","creator":"msisak","file_id":"18468","date_created":"2024-10-23T14:43:56Z","file_name":"MASisak_source.zip","checksum":"1831b072e861a1e5481024ca9d02b036","file_size":617913,"date_updated":"2024-10-24T08:09:13Z","content_type":"application/x-zip-compressed"}],"date_updated":"2026-04-07T12:42:44Z","ddc":["516"],"status":"public","article_processing_charge":"No","has_accepted_license":"1","department":[{"_id":"GradSch"},{"_id":"TaHa"}],"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png"},"keyword":["hyperkaehler geometry","branes","mirror symmetry","T-duality"],"type":"dissertation","project":[{"_id":"6286e8c4-2b32-11ec-9570-f5297902f67f","grant_number":"26069","name":"Branes on hyperkähler manifolds"}],"year":"2024","publisher":"Institute of Science and Technology Austria","month":"10","corr_author":"1","degree_awarded":"PhD","OA_type":"free access","day":"24"},{"publication_status":"published","title":"Equivariant cohomology and rings of functions","oa_version":"Published Version","abstract":[{"lang":"eng","text":"This dissertation is the summary of the author’s work, concerning the relations between\r\ncohomology rings of algebraic varieties and rings of functions on zero schemes and fixed\r\npoint schemes. For most of the thesis, the focus is on smooth complex varieties with\r\nan action of a principally paired group, e.g. a parabolic subgroup of a reductive group.\r\nThe fundamental theorem 5.2.11 from co-authored article [66] says that if the principal\r\nnilpotent has a unique zero, then the zero scheme over the Kostant section is isomorphic\r\nto the spectrum of the equivariant cohomology ring, remembering the grading in terms of\r\na C^* action. A similar statement is proved also for the G-invariant functions on the total\r\nzero scheme over the whole Lie algebra. Additionally, we are able to prove an analogous\r\nresult for the GKM spaces, which poses the question on a joint generalisation.\r\nWe also tackle the situation of a singular variety. As long as it is embedded in a smooth\r\nvariety with regular action, we are able to study its cohomology as well by means of\r\nthe zero scheme. In case of e.g. Schubert varieties this determines the cohomology ring\r\ncompletely. In largest generality, this allows us to see a significant part of the cohomology\r\nring.\r\nWe also show (Theorem 6.2.1) that the cohomology ring of spherical varieties appears as\r\nthe ring of functions on the zero scheme. The computational aspect is not easy, but one\r\ncan hope that this can bring some concrete information about such cohomology rings.\r\nLastly, the K-theory conjecture 6.3.1 is studied, with some results attained for GKM\r\nspaces.\r\nThe thesis includes also an introduction to group actions on algebraic varieties. In\r\nparticular, the vector fields associated to the actions are extensively studied. We also\r\nprovide a version of the Kostant section for arbitrary principally paired group, which\r\nparametrises the regular orbits in the Lie algebra of an algebraic group. Before proving\r\nthe main theorem, we also include a historical overview of the field. In particular we bring\r\ntogether the results of Akyildiz, Carrell and Lieberman on non-equivariant cohomology\r\nrings."}],"file_date_updated":"2024-06-26T21:00:14Z","page":"117","publication_identifier":{"issn":["2663-337X"]},"alternative_title":["ISTA Thesis"],"oa":1,"date_published":"2024-06-25T00:00:00Z","citation":{"ieee":"K. P. Rychlewicz, “Equivariant cohomology and rings of functions,” Institute of Science and Technology Austria, 2024.","ista":"Rychlewicz KP. 2024. Equivariant cohomology and rings of functions. Institute of Science and Technology Austria.","apa":"Rychlewicz, K. P. (2024). Equivariant cohomology and rings of functions. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:17156","ama":"Rychlewicz KP. Equivariant cohomology and rings of functions. 2024. doi:10.15479/at:ista:17156","short":"K.P. Rychlewicz, Equivariant Cohomology and Rings of Functions, Institute of Science and Technology Austria, 2024.","mla":"Rychlewicz, Kamil P. Equivariant Cohomology and Rings of Functions. Institute of Science and Technology Austria, 2024, doi:10.15479/at:ista:17156.","chicago":"Rychlewicz, Kamil P. “Equivariant Cohomology and Rings of Functions.” Institute of Science and Technology Austria, 2024. https://doi.org/10.15479/at:ista:17156."},"supervisor":[{"orcid":"0000-0002-9582-2634","last_name":"Hausel","first_name":"Tamás","id":"4A0666D8-F248-11E8-B48F-1D18A9856A87","full_name":"Hausel, Tamás"}],"user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","author":[{"first_name":"Kamil P","last_name":"Rychlewicz","full_name":"Rychlewicz, Kamil P","id":"85A07246-A8BF-11E9-B4FA-D9E3E5697425"}],"doi":"10.15479/at:ista:17156","date_created":"2024-06-23T15:07:06Z","_id":"17156","OA_place":"publisher","ddc":["516"],"file":[{"date_updated":"2024-06-26T21:00:14Z","file_size":2761814,"content_type":"application/zip","file_name":"thesis.zip","file_id":"17179","checksum":"1610063569f5452f8a5acef728c2fc26","date_created":"2024-06-26T20:56:27Z","creator":"krychlew","access_level":"closed","relation":"source_file"},{"content_type":"application/pdf","file_size":3695952,"date_updated":"2024-06-26T20:58:24Z","relation":"main_file","file_id":"17180","checksum":"7bbadb1fbc9ed2a1ecf54597f88af99c","file_name":"thesis.pdf","date_created":"2024-06-26T20:58:24Z","creator":"krychlew","access_level":"open_access"}],"date_updated":"2026-04-07T12:55:46Z","related_material":{"record":[{"id":"17157","status":"public","relation":"part_of_dissertation"}]},"language":[{"iso":"eng"}],"article_processing_charge":"No","has_accepted_license":"1","department":[{"_id":"TaHa"},{"_id":"GradSch"}],"status":"public","project":[{"name":"Topology of open smooth varieties with a torus action","grant_number":"26525","_id":"34cd0f74-11ca-11ed-8bc3-bf0492a14a24"}],"type":"dissertation","year":"2024","keyword":["equivariant cohomology","zero schemes","algebraic groups","Lie algebras"],"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode","image":"/images/cc_by_nc_sa.png","name":"Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)","short":"CC BY-NC-SA (4.0)"},"degree_awarded":"PhD","day":"25","license":"https://creativecommons.org/licenses/by-nc-sa/4.0/","publisher":"Institute of Science and Technology Austria","corr_author":"1","month":"06"},{"author":[{"id":"4CA96FD4-F248-11E8-B48F-1D18A9856A87","full_name":"Bighin, Giacomo","orcid":"0000-0001-8823-9777","last_name":"Bighin","first_name":"Giacomo"},{"full_name":"Ho, Quoc P","id":"3DD82E3C-F248-11E8-B48F-1D18A9856A87","first_name":"Quoc P","last_name":"Ho","orcid":"0000-0001-6889-1418"},{"id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","full_name":"Lemeshko, Mikhail","orcid":"0000-0002-6990-7802","last_name":"Lemeshko","first_name":"Mikhail"},{"full_name":"Tscherbul, T. V.","last_name":"Tscherbul","first_name":"T. V."}],"date_created":"2023-08-06T22:01:10Z","doi":"10.1103/PhysRevB.108.045115","_id":"13966","scopus_import":"1","oa":1,"date_published":"2023-07-15T00:00:00Z","arxiv":1,"citation":{"apa":"Bighin, G., Ho, Q. P., Lemeshko, M., & Tscherbul, T. V. (2023). Diagrammatic Monte Carlo for electronic correlation in molecules: High-order many-body perturbation theory with low scaling. Physical Review B. American Physical Society. https://doi.org/10.1103/PhysRevB.108.045115","short":"G. Bighin, Q.P. Ho, M. Lemeshko, T.V. Tscherbul, Physical Review B 108 (2023).","mla":"Bighin, Giacomo, et al. “Diagrammatic Monte Carlo for Electronic Correlation in Molecules: High-Order Many-Body Perturbation Theory with Low Scaling.” Physical Review B, vol. 108, no. 4, 045115, American Physical Society, 2023, doi:10.1103/PhysRevB.108.045115.","chicago":"Bighin, Giacomo, Quoc P Ho, Mikhail Lemeshko, and T. V. Tscherbul. “Diagrammatic Monte Carlo for Electronic Correlation in Molecules: High-Order Many-Body Perturbation Theory with Low Scaling.” Physical Review B. American Physical Society, 2023. https://doi.org/10.1103/PhysRevB.108.045115.","ama":"Bighin G, Ho QP, Lemeshko M, Tscherbul TV. Diagrammatic Monte Carlo for electronic correlation in molecules: High-order many-body perturbation theory with low scaling. Physical Review B. 2023;108(4). doi:10.1103/PhysRevB.108.045115","ieee":"G. Bighin, Q. P. Ho, M. Lemeshko, and T. V. Tscherbul, “Diagrammatic Monte Carlo for electronic correlation in molecules: High-order many-body perturbation theory with low scaling,” Physical Review B, vol. 108, no. 4. American Physical Society, 2023.","ista":"Bighin G, Ho QP, Lemeshko M, Tscherbul TV. 2023. Diagrammatic Monte Carlo for electronic correlation in molecules: High-order many-body perturbation theory with low scaling. Physical Review B. 108(4), 045115."},"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","intvolume":" 108","acknowledgement":"We acknowledge stimulating discussions with Sergey Varganov, Artur Izmaylov, Jacek Kłos, Piotr Żuchowski, Dominika Zgid, Nikolay Prokof'ev, Boris Svistunov, Robert Parrish, and Andreas Heßelmann. G.B. and Q.P.H. acknowledge support from the Austrian Science Fund (FWF) under Projects No. M2641-N27 and No. M2751. M.L. acknowledges support by the FWF under Project No. P29902-N27, and by the European Research Council (ERC) Starting Grant No. 801770 (ANGULON). T.V.T. was supported by the NSF CAREER award No. PHY-2045681. This work is supported by the German Research Foundation (DFG) under Germany's Excellence Strategy EXC2181/1-390900948 (the Heidelberg STRUCTURES Excellence Cluster). The authors acknowledge support by the state of Baden-Württemberg through bwHPC.","publication_identifier":{"eissn":["2469-9969"],"issn":["2469-9950"]},"volume":108,"article_type":"original","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2203.12666"}],"quality_controlled":"1","abstract":[{"text":"We present a low-scaling diagrammatic Monte Carlo approach to molecular correlation energies. Using combinatorial graph theory to encode many-body Hugenholtz diagrams, we sample the Møller-Plesset (MPn) perturbation series, obtaining accurate correlation energies up to n=5, with quadratic scaling in the number of basis functions. Our technique reduces the computational complexity of the molecular many-fermion correlation problem, opening up the possibility of low-scaling, accurate stochastic computations for a wide class of many-body systems described by Hugenholtz diagrams.","lang":"eng"}],"publication_status":"published","title":"Diagrammatic Monte Carlo for electronic correlation in molecules: High-order many-body perturbation theory with low scaling","oa_version":"Preprint","publisher":"American Physical Society","corr_author":"1","month":"07","day":"15","issue":"4","ec_funded":1,"type":"journal_article","project":[{"grant_number":"M02641","name":"A path-integral approach to composite impurities","call_identifier":"FWF","_id":"26986C82-B435-11E9-9278-68D0E5697425"},{"_id":"26B96266-B435-11E9-9278-68D0E5697425","grant_number":"M02751","call_identifier":"FWF","name":"Algebro-Geometric Applications of Factorization Homology"},{"call_identifier":"FWF","name":"Quantum rotations in the presence of a many-body environment","grant_number":"P29902","_id":"26031614-B435-11E9-9278-68D0E5697425"},{"_id":"2688CF98-B435-11E9-9278-68D0E5697425","name":"Angulon: physics and applications of a new quasiparticle","call_identifier":"H2020","grant_number":"801770"}],"year":"2023","external_id":{"arxiv":["2203.12666"],"isi":["001532067800001"]},"article_number":"045115","status":"public","article_processing_charge":"No","publication":"Physical Review B","department":[{"_id":"MiLe"},{"_id":"TaHa"}],"isi":1,"language":[{"iso":"eng"}],"date_updated":"2025-09-09T12:45:32Z"}]