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On the Fundamental Lemma for Standard Endoscopy: Reduction to Unit Elements

Published online by Cambridge University Press:  20 November 2018

Thomas C. Hales
Thomas C. Hales*
Affiliation:
University of Michigan, Ann Arbor, Michigan, U.S.A.
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Abstract

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The fundamental lemma for standard endoscopy follows from the matching of unit elements in Hecke algebras. A simple form of the stable trace formula, based on the matching of unit elements, shows the fundamental lemma to be equivalent to a collection of character identities. These character identities are established by comparing them to a compact-character expansion of orbital integrals.

Keywords

22E5022E3520G25
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 47 , Issue 5 , 01 October 1995 , pp. 974 - 994
Copyright
Copyright © Canadian Mathematical Society 1995

Footnotes

I would like to thank R. Kottwitz for guiding me repeatedly in the right direction on this project. I would also like to thank G. Henniart for explaining the method of Section 5 to me and L. Clozel for providing an argument at the archimedean places.

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