On endoscopic transfer of Deligne-Lusztig functions

David Kazhdan*, Yakov Varshavsky

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


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 φ H of Deligne-Lusztig functions on an endoscopic group H such that φ and φ H have "matching orbital integrals." In particular, we prove a conjecture of Kottwitz. More precisely, we do it under some mild restriction on p.

Original languageAmerican English
Pages (from-to)675-732
Number of pages58
JournalDuke Mathematical Journal
Issue number4
StatePublished - Mar 2012


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