D-chtoucas de Drinfeld à modifications symétriques et identité de changement de base

Details D-chtoucas de Drinfeld à modifications symétriques et identité de changement de base D-chtoucas de Drinfeld à modifications symétriques et identité de changement de base

2003-12-09

arxiv.org/abs/math/0312181v4

Ann. Scient. Ec. Norm. Sup. 39 (2006) 197-243

Mathematics

Algebraic Geometry

published version

Scientific paper

We give a new proof of the base change fundamental lemma for GL_n for certain
Hecke functions by comparing the cohomology of two different moduli space of
$D$-shtukas. The original proof, due to Clozel and Labesse, make use of the
trace formula and of the unit case due to Kottwitz.

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