Arnaud Eteve

collaborators

4 papers

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.AG2024

Nearby cycles commute with proper direct image on stacks of shtukas

Arnaud Eteve, Cong Xue

Let $G$ be a generically reductive group over a smooth projective curve $X$ over a finite field. For any finite set $I$ , we show that nearby cycles commute with proper direct image…

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…