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La fibration de Hitchin-Frenkel-Ngo et son complexe d'intersection
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
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Erratum to: “On the formal arc space of a reductive monoid”
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 forExpand
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Faisceaux pervers sur les espaces d'arcs I: Le cas d'\'egales caract\'eristiques
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 locallyExpand
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Faisceaux pervers sur les espaces d'arcs
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 locallyExpand
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DIMENSION DES FIBRES DE SPRINGER AFFINES POUR LES GROUPES
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 theExpand
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G\'eom\'etrisation du lemme fondamental pour l'alg\`ebre de Hecke
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 equalExpand
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Torsors on loop groups and the Hitchin fibration
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 regularExpand
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La fibration de Hitchin pour les groupes
Correction to: DIMENSION DES FIBRES DE SPRINGER AFFINES POUR LES GROUPES
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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