1 citations · 1 across the 4 of their papers we have counts for
6 papers
Support singulier et homologie des fibres de Springer affines
Alexis Bouthier
We develop a theory of singular support for various infinite dimensional stacks and establish several functoriality properties. Then we apply this theory to compute the singular su…
Faisceaux caractères sur les espaces de lacets d'algèbres de Lie
Alexis Bouthier
We establish several foundational results regarding the Grothendieck-Springer affine fibration. More precisely, we prove some constructibility results on the affine Grothendieck-Sp…
Cohomologie étale des espaces d'arcs
Alexis Bouthier
We establish a structure theorem on the arc space of a -scheme of finite type. More precisely, we show that the arc space is locally for the pro-smooth toplogy a product of an i…
Géométrisation du lemme fondamental pour l'algèbre de Hecke
Alexis Bouthier
This article is the third one of the series \cite{Bt1}-\cite{Bt2} on Hitchin-Frenkel-Ngo fibration and Vinberg semigroup. Ngo \cite{N} proved the fundamental lemma for Lie algebras…
Dimension des fibres de Springer affines pour les groupes
Alexis Bouthier
Following Steinberg, we construct an adjoint quotient for the Vinberg semi-group and a section to this quotient. Then, after Ngô, we show the existence of a regular centralizer on…
Réalisation de de Rham des motifs de Voevodsky
Alexis Bouthier
After reviewing some basic facts about pure and mixed motives, we explain, following Deligne-Goncharov, how to construct a de Rham realisation functor from the category of geometri…