On modulo ℓ cohomology of p-adic Deligne–Lusztig varieties for GLn Löwit, Jakub ddc:510 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. Elsevier 2025 info:eu-repo/semantics/article doc-type:article text http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/18154 https://research-explorer.ista.ac.at/download/18154/18830 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> eng info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jalgebra.2024.08.033 info:eu-repo/semantics/altIdentifier/issn/0021-8693 info:eu-repo/semantics/altIdentifier/e-issn/1090-266X info:eu-repo/semantics/altIdentifier/wos/001325207800001 info:eu-repo/semantics/altIdentifier/arxiv/2404.11176 info:eu-repo/semantics/openAccess