4 papers · 1 filter
Tilting representations of finite groups of Lie type
Arnaud Eteve
Let be a connected reductive group over a finite field of characteristic . In this paper, we study a category which we call Deligne--Lusztig cate…
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…
Nearby cycles commute with proper direct image on stacks of shtukas
Arnaud Eteve, Cong Xue
Let be a generically reductive group over a smooth projective curve over a finite field. For any finite set , we show that nearby cycles commute with proper direct image…
Universal Koszul Duality for Kac-Moody Groups
Jens Niklas Eberhardt, Arnaud Eteve
We prove a monoidal equivalence, called universal Koszul duality, between genuine equivariant K-motives on a Kac-Moody flag variety and constructible monodromic sheaves on its Lang…