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Publications Influence

La fibration de Hitchin-Frenkel-Ngo et son complexe d'intersection

- A. Bouthier
- Mathematics
- 3 September 2014

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 Vinberg's semigroup.… Expand

4 1- PDF

Erratum to: “On the formal arc space of a reductive monoid”

- A. Bouthier, A. B. C. Y. Ngô, A. C. Sakellaridis
- Mathematics
- 2017

abstract:We correct the calculation of IC functions on arc spaces of reductive monoids in [Bouthier, Ng\^o, and Sakellaridis, {\it Amer. J. Math.} {\bf 138} (2016), 81--108] which did not account for… Expand

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Faisceaux pervers sur les espaces d'arcs I: Le cas d'\'egales caract\'eristiques

- A. Bouthier, David Kazhdan
- Mathematics
- 7 September 2015

This article sets the foundations of a theory of perverse sheaves on arc spaces as it was conjectured by Feigin-Frenkel in 1990. We show a structure theorem which says that arc spaces are locally… Expand

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Faisceaux pervers sur les espaces d'arcs

- A. Bouthier, David Kazhdan
- Mathematics
- 7 September 2015

This article sets the foundations of a theory of perverse sheaves on arc spaces as it was conjectured by Feigin-Frenkel in 1990. We show a structure theorem which says that arc spaces are locally… Expand

8 1

DIMENSION DES FIBRES DE SPRINGER AFFINES POUR LES GROUPES

- A. Bouthier
- Mathematics
- 5 March 2012

This article establishes a dimension formula for a group version of affine Springer fibers. We follow the method initiated by Bezrukavnikov in the case of Lie algebras. It consists in the… Expand

10- PDF

G\'eom\'etrisation du lemme fondamental pour l'alg\`ebre de Hecke

- A. Bouthier
- Mathematics
- 25 February 2015

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 in equal… Expand

3- PDF

Torsors on loop groups and the Hitchin fibration

- A. Bouthier, Kestutis Cesnavicius
- Mathematics
- 20 August 2019

In his proof of the fundamental lemma, Ngo established the product formula for the Hitchin fibration over the anisotropic locus. One expects this formula over the larger generically regular… Expand

2- PDF

La fibration de Hitchin pour les groupes

- A. Bouthier
- Mathematics
- 3 September 2014

Correction to: DIMENSION DES FIBRES DE SPRINGER AFFINES POUR LES GROUPES

- A. Bouthier, Jingren Chi
- Mathematics
- 15 October 2018

We fill some gaps in [Bou15] and finish the proof of dimension formula for the affine Springer fibers studied in loc. cit.

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