1 citations · 1 across the 5 of their papers we have counts for
6 papers
On the geometric Satake equivalence for Kac-Moody groups
Alexis Bouthier, Eric Vasserot
This article establishes a geometric Satake equivalence for affine Kac-Moody groups as an equivalence of abelian semisimple categories over algebraically closed fields. We define a…
Perversity of coinvariants of affine Springer sheaves
Alexis Bouthier, David Kazhdan, Yakov Varshavsky
Using techniques of [BKV], we construct a perverse t-structure on the infinity-category of l-adic LG-equivariant sheaves on the regular-semisimple bounded locus of the loop group L…
Generically trivial torsors under constant groups
Alexis Bouthier, Kestutis Cesnavicius, Federico Scavia
We resolve the Grothendieck-Serre question over an arbitrary base field : for a smooth -group scheme and a smooth -variety , we show that every generically trivial…
Perverse sheaves on infinite-dimensional stacks, and affine Springer theory
Alexis Bouthier, David Kazhdan, Yakov Varshavsky
The goal of this work is to construct a perverse t-structure on the infinity-category of l-adic LG-equivariant sheaves on the loop Lie algebra Lg and to show that the affine Grothe…
Torsors on loop groups and the Hitchin fibration
Alexis Bouthier, Kestutis Cesnavicius
In his proof of the fundamental lemma, Ngô established the product formula for the Hitchin fibration over the anisotropic locus. One expects this formula over the larger genericall…
La fibration de Hitchin-Frenkel-Ngo et son complexe d'intersection
Alexis Bouthier
In this article, we construct the Hitchin fibration for groups following the scheme outlined by Frenkel-Ngo in the case of SL_{2}. This construction uses as a decisive tool the Vin…