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

Ngô Bao Châu
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Abstract

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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Ngô Bao Châu. 2006-09-08. D-chtoucas de Drinfeld à modifications symétriques et identité de changement de base. https://arxiv.org/abs/math/0312181

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