TY - JOUR
T1 - On endoscopic transfer of Deligne-Lusztig functions
AU - Kazhdan, David
AU - Varshavsky, Yakov
PY - 2012/3
Y1 - 2012/3
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84858205086&partnerID=8YFLogxK
U2 - 10.1215/00127094-1548371
DO - 10.1215/00127094-1548371
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AN - SCOPUS:84858205086
SN - 0012-7094
VL - 161
SP - 675
EP - 732
JO - Duke Mathematical Journal
JF - Duke Mathematical Journal
IS - 4
ER -