Arnaud Eteve

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math.RT2024

Tilting representations of finite groups of Lie type

Arnaud Eteve

Let $G$ be a connected reductive group over a finite field $F_{q}$ of characteristic $p > 0$ . In this paper, we study a category which we call Deligne--Lusztig cate…

math.RT2024

Free monodromic Hecke categories and their categorical traces

Arnaud Eteve

The goal of this paper is to give a new construction of the free monodromic categories defined by Yun. We then use this formalism to give simpler constructions of the free monodrom…

math.RT2022

Kazhdan-Laumon sheaves and Deligne-Lusztig representations

Arnaud Eteve

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 cohom…