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math.RT2024
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…
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.RT2024
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…