Le lemme fondamental pondéré. II. Énoncés cohomologiques

2009/12/22 by Chaudouard, Pierre-Henri, Laumon, Gérard · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.0912.4512

Abstract

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 part of the Hitchin fibration. As a consequence, we get a proof of Arthur's weighted fundamental lemma

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• Fourier transform and endoscopic transfer on real Lie algebras

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