Inventiones mathematicae

, Volume 164, Issue 2, pp 399–453

Fibration de Hitchin et endoscopie

Authors

    • Département de Mathématiques, UMR 8628Université Paris-Sud
Article

DOI: 10.1007/s00222-005-0483-7

Cite this article as:
Ngô, B. Invent. math. (2006) 164: 399. doi:10.1007/s00222-005-0483-7

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 a local fields of equal characteristics.

Copyright information

© Springer-Verlag 2006