English

D-chtoucas de Drinfeld \`a modifications sym\'etriques et identit\'e de changement de base

Algebraic Geometry 2007-05-23 v4 Representation Theory

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 DD-shtukas. The original proof, due to Clozel and Labesse, make use of the trace formula and of the unit case due to Kottwitz.

Cite

@article{arxiv.math/0312181,
  title  = {D-chtoucas de Drinfeld \`a modifications sym\'etriques et identit\'e de changement de base},
  author = {Ngô Bao Châu},
  journal= {arXiv preprint arXiv:math/0312181},
  year   = {2007}
}

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