---
OA_place: publisher
OA_type: hybrid
_id: '18154'
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.'
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Jakub
  full_name: Löwit, Jakub
  id: e3b80ae2-eb8e-11eb-b029-9aef4a9108a0
  last_name: Löwit
citation:
  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>
  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>.
  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.
  ista: Löwit J. 2025. On modulo ℓ cohomology of p-adic Deligne–Lusztig varieties
    for GLn. Journal of Algebra. 663(2), 81–118.
  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>.
  short: J. Löwit, Journal of Algebra 663 (2025) 81–118.
corr_author: '1'
date_created: 2024-09-29T22:01:37Z
date_published: 2025-02-01T00:00:00Z
date_updated: 2025-02-27T12:32:40Z
day: '01'
ddc:
- '510'
department:
- _id: TaHa
doi: 10.1016/j.jalgebra.2024.08.033
external_id:
  arxiv:
  - '2404.11176'
  isi:
  - '001325207800001'
file:
- access_level: open_access
  checksum: eb240e93c178e48429ad918c9058f1fe
  content_type: application/pdf
  creator: dernst
  date_created: 2025-01-13T08:57:57Z
  date_updated: 2025-01-13T08:57:57Z
  file_id: '18830'
  file_name: 2024_JourAlgebra_Loewit.pdf
  file_size: 731175
  relation: main_file
  success: 1
file_date_updated: 2025-01-13T08:57:57Z
has_accepted_license: '1'
intvolume: '       663'
isi: 1
issue: '2'
language:
- iso: eng
month: '02'
oa: 1
oa_version: Published Version
page: 81-118
publication: Journal of Algebra
publication_identifier:
  eissn:
  - 1090-266X
  issn:
  - 0021-8693
publication_status: published
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: On modulo ℓ cohomology of p-adic Deligne–Lusztig varieties for GLn
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 663
year: '2025'
...