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