31 citations · 114 across the 11 of their papers we have counts for
13 papers
Un théorème du support pour la fibration de Hitchin
Pierre-Henri Chaudouard, Gérard Laumon
The main tool in Ngô Bao Châu's proof of the Langlands-Shelstad fundamental lemma, is a theorem on the support of the relative cohomology of the elliptic part of the Hitchin fibrat…
Sur le comptage des fibrés de Hitchin nilpotents
Pierre-Henri Chaudouard, Gérard Laumon
This paper is concerned with two problems. One is to count Hitchin bundles on a projective curve and the other is to get an explicit formula for the nilpotent part of the Arthur-Se…
Le lemme fondamental pondéré. II. Énoncés cohomologiques
Pierre-Henri Chaudouard, Gérard Laumon
In this paper, we study the cohomology of the truncated Hitchin fibration, which was introduced in a previous paper. We extend Ngô's main theorems on the cohomology of the elliptic…
Le lemme fondamental pondéré I : constructions géométriques
Pierre-Henri Chaudouard, Gérard Laumon
This work is the geometric part of our proof of the weighted fundamental lemma, which is an extension of Ngô Bao Châu's proof of the Langlands-Shelstad fundamental lemma. Ngô's app…
Sur l'homologie des fibres de Springer affines tronquées
Pierre-Henri Chaudouard, Gérard Laumon
Following Goresky, Kottwitz and MacPherson, we compute the homology of truncated affine Springer fibers in the unramified case but under a purity assumption. We prove this assumpti…
Le lemme fondamental pour les groupes unitaires
G. Laumon, B. C. Ngo
Let G be an unramified reductive group over a non archimedian local field F. The so-called "Langlands Fundamental Lemma" is a family of conjectural identities between orbital integ…