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Preprints, Working Papers, ... Year : 2022

Kazhdan-Laumon sheaves and Deligne-Lusztig representations

Abstract

Let $G$ be a reductive group over a finite field with a maximal unipotent subgroup $U$, we consider certain sheaves on $G/U$ defined by Kazhdan and Laumon and show that their cohomology produces the cohomology of the Deligne-Lusztig varieties. We then use this comparison to give a new proof of a result of Dudas.

Dates and versions

hal-03961556 , version 1 (29-01-2023)

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Arnaud Eteve. Kazhdan-Laumon sheaves and Deligne-Lusztig representations. 2022. ⟨hal-03961556⟩
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