Le lemme fondamental pour les algebres de Lie

Details Le lemme fondamental pour les algebres de Lie Le lemme fondamental pour les algebres de Lie

2008-01-03

arxiv.org/abs/0801.0446v3

Mathematics

Algebraic Geometry

197 pages, submitted

Scientific paper

We propose a proof for conjectures of Langlands, Shelstad and Waldspurger
known as the fundamental lemma for Lie algebras and the non-standard
fundamental lemma. The proof is based on a study of the decomposition of the
l-adic cohomology of the Hitchin fibration into direct sum of simple perverse
sheaves.

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