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15 March 2012 On endoscopic transfer of Deligne–Lusztig functions
David Kazhdan, Yakov Varshavsky
Duke Math. J. 161(4): 675-732 (15 March 2012). DOI: 10.1215/00127094-1548371

Abstract

In this paper we prove the fundamental lemma for Deligne–Lusztig functions. Namely, for every Deligne–Lusztig function ϕ on a p-adic group G we write down an explicit linear combination ϕH of Deligne–Lusztig functions on an endoscopic group H such that ϕ and ϕH have “matching orbital integrals.” In particular, we prove a conjecture of Kottwitz. More precisely, we do it under some mild restriction on p.

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David Kazhdan. Yakov Varshavsky. "On endoscopic transfer of Deligne–Lusztig functions." Duke Math. J. 161 (4) 675 - 732, 15 March 2012. https://doi.org/10.1215/00127094-1548371

Information

Published: 15 March 2012
First available in Project Euclid: 1 March 2012

zbMATH: 1241.22021
MathSciNet: MR2891532
Digital Object Identifier: 10.1215/00127094-1548371

Subjects:
Primary: 22E50
Secondary: 22E35

Rights: Copyright © 2012 Duke University Press

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Vol.161 • No. 4 • 15 March 2012
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