Le lemme fondamental pour les algebres de Lie
arXiv:0801.0446
Abstract
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.
arXiv comment197 pages, submitted
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