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arXiv · 2211.15167

Kazhdan-Laumon sheaves and Deligne-Lusztig representations

Arnaud Eteve
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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.

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BibTeXRIS

Arnaud Eteve. 2022-11-28. Kazhdan-Laumon sheaves and Deligne-Lusztig representations. https://arxiv.org/abs/2211.15167

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