Fibration de Hitchin et endoscopie
Algebraic Geometry
2007-05-23 v4 Representation Theory
Abstract
We propose a geometric interpretation of the theory of elliptic endoscopy, due to Langlands and Kottwitz, in terms of the Hitchin fibration. As applications, we prove a global analog of a purity conjecture, due to Goresky, Kottwitz and MacPherson. For unitary groups, this global purity statement has been used, in a joint work with G. Laumon, to prove the fundamental lemma over local fields of equal characteristics.
Keywords
Cite
@article{arxiv.math/0406599,
title = {Fibration de Hitchin et endoscopie},
author = {Ngo Bao Chau},
journal= {arXiv preprint arXiv:math/0406599},
year = {2007}
}
Comments
published version, Latex file