Sur le lemme fondamental pour les groupes unitaires
Algebraic Geometry
2007-05-23 v1 Representation Theory
Abstract
Assuming the purity conjecture for the affine Springer fibers which has been formulated by Goresky, Kottwitz and MacPherson, we prove a geometric analog of the fundamental lemma for unitary groups. Our approach is similar to the one of Goresky, Kottwitz and MacPherson. Our main new ingredient is the link between affine Springer fibers and compactified Jacobians which is described in math.AG/0204109.
Keywords
Cite
@article{arxiv.math/0212245,
title = {Sur le lemme fondamental pour les groupes unitaires},
author = {Gerard Laumon},
journal= {arXiv preprint arXiv:math/0212245},
year = {2007}
}
Comments
plain tex, 26 pages, in French