{"year":"2024","corr_author":"1","scopus_import":"1","date_updated":"2024-10-01T07:21:43Z","_id":"18154","article_processing_charge":"Yes (via OA deal)","title":"On modulo ℓ cohomology of p-adic Deligne–Lusztig varieties for GLn","external_id":{"arxiv":["2404.11176"]},"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."}],"author":[{"full_name":"Löwit, Jakub","id":"e3b80ae2-eb8e-11eb-b029-9aef4a9108a0","first_name":"Jakub","last_name":"Löwit"}],"language":[{"iso":"eng"}],"citation":{"ama":"Löwit J. On modulo ℓ cohomology of p-adic Deligne–Lusztig varieties for GLn. <i>Journal of Algebra</i>. 2024;663:81-118. doi:<a href=\"https://doi.org/10.1016/j.jalgebra.2024.08.033\">10.1016/j.jalgebra.2024.08.033</a>","short":"J. Löwit, Journal of Algebra 663 (2024) 81–118.","chicago":"Löwit, Jakub. “On modulo ℓ Cohomology of P-Adic Deligne–Lusztig Varieties for GLn.” <i>Journal of Algebra</i>. Elsevier, 2024. <a href=\"https://doi.org/10.1016/j.jalgebra.2024.08.033\">https://doi.org/10.1016/j.jalgebra.2024.08.033</a>.","ista":"Löwit J. 2024. On modulo ℓ cohomology of p-adic Deligne–Lusztig varieties for GLn. Journal of Algebra. 663, 81–118.","ieee":"J. Löwit, “On modulo ℓ cohomology of p-adic Deligne–Lusztig varieties for GLn,” <i>Journal of Algebra</i>, vol. 663. Elsevier, pp. 81–118, 2024.","apa":"Löwit, J. (2024). 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>","mla":"Löwit, Jakub. “On modulo ℓ Cohomology of P-Adic Deligne–Lusztig Varieties for GLn.” <i>Journal of Algebra</i>, vol. 663, Elsevier, 2024, pp. 81–118, doi:<a href=\"https://doi.org/10.1016/j.jalgebra.2024.08.033\">10.1016/j.jalgebra.2024.08.033</a>."},"publication_status":"epub_ahead","status":"public","date_published":"2024-09-25T00:00:00Z","article_type":"original","month":"09","oa":1,"page":"81-118","volume":663,"publication_identifier":{"eissn":["1090-266X"],"issn":["0021-8693"]},"quality_controlled":"1","date_created":"2024-09-29T22:01:37Z","intvolume":"       663","type":"journal_article","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","main_file_link":[{"open_access":"1","url":"https://doi.org/10.1016/j.jalgebra.2024.08.033"}],"publisher":"Elsevier","day":"25","publication":"Journal of Algebra","oa_version":"Published Version","department":[{"_id":"TaHa"}],"doi":"10.1016/j.jalgebra.2024.08.033"}