On endoscopic transfer of Deligne-Lusztig functions

David Kazhdan, Yakov Varshavsky

Research output: Contribution to journalArticlepeer-review


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

All Science Journal Classification (ASJC) codes

  • Mathematics(all)


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