{"article_type":"original","publication":"Journal of Algebra","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","language":[{"iso":"eng"}],"publication_identifier":{"eissn":["1090-266X"],"issn":["0021-8693"]},"isi":1,"citation":{"short":"J. Löwit, Journal of Algebra 663 (2025) 81–118.","ista":"Löwit J. 2025. On modulo ℓ cohomology of p-adic Deligne–Lusztig varieties for GLn. Journal of Algebra. 663(2), 81–118.","chicago":"Löwit, Jakub. “On modulo ℓ Cohomology of P-Adic Deligne–Lusztig Varieties for GLn.” <i>Journal of Algebra</i>. Elsevier, 2025. <a href=\"https://doi.org/10.1016/j.jalgebra.2024.08.033\">https://doi.org/10.1016/j.jalgebra.2024.08.033</a>.","ama":"Löwit J. On modulo ℓ cohomology of p-adic Deligne–Lusztig varieties for GLn. <i>Journal of Algebra</i>. 2025;663(2):81-118. doi:<a href=\"https://doi.org/10.1016/j.jalgebra.2024.08.033\">10.1016/j.jalgebra.2024.08.033</a>","apa":"Löwit, J. (2025). On modulo ℓ cohomology of p-adic Deligne–Lusztig varieties for GLn. <i>Journal of Algebra</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.jalgebra.2024.08.033\">https://doi.org/10.1016/j.jalgebra.2024.08.033</a>","ieee":"J. Löwit, “On modulo ℓ cohomology of p-adic Deligne–Lusztig varieties for GLn,” <i>Journal of Algebra</i>, vol. 663, no. 2. Elsevier, pp. 81–118, 2025.","mla":"Löwit, Jakub. “On modulo ℓ Cohomology of P-Adic Deligne–Lusztig Varieties for GLn.” <i>Journal of Algebra</i>, vol. 663, no. 2, Elsevier, 2025, pp. 81–118, doi:<a href=\"https://doi.org/10.1016/j.jalgebra.2024.08.033\">10.1016/j.jalgebra.2024.08.033</a>."},"_id":"18154","tmp":{"image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)"},"oa_version":"Published Version","scopus_import":"1","publisher":"Elsevier","corr_author":"1","abstract":[{"lang":"eng","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."}],"quality_controlled":"1","arxiv":1,"year":"2025","file":[{"date_created":"2025-01-13T08:57:57Z","access_level":"open_access","relation":"main_file","date_updated":"2025-01-13T08:57:57Z","checksum":"eb240e93c178e48429ad918c9058f1fe","file_name":"2024_JourAlgebra_Loewit.pdf","file_size":731175,"success":1,"file_id":"18830","content_type":"application/pdf","creator":"dernst"}],"type":"journal_article","file_date_updated":"2025-01-13T08:57:57Z","intvolume":"       663","volume":663,"status":"public","has_accepted_license":"1","department":[{"_id":"TaHa"}],"OA_place":"publisher","ddc":["510"],"date_published":"2025-02-01T00:00:00Z","day":"01","title":"On modulo ℓ cohomology of p-adic Deligne–Lusztig varieties for GLn","external_id":{"arxiv":["2404.11176"],"isi":["001325207800001"]},"issue":"2","oa":1,"page":"81-118","OA_type":"hybrid","author":[{"last_name":"Löwit","full_name":"Löwit, Jakub","id":"e3b80ae2-eb8e-11eb-b029-9aef4a9108a0","first_name":"Jakub"}],"month":"02","date_updated":"2025-02-27T12:32:40Z","doi":"10.1016/j.jalgebra.2024.08.033","publication_status":"published","date_created":"2024-09-29T22:01:37Z","article_processing_charge":"Yes (via OA deal)"}