# Séminaires : Séminaire Groupes Réductifs et Formes Automorphes

 Equipe(s) : fa, tn, Responsables : Alexis Bouthier, Cong Xue Email des responsables : alexis.bouthier@imj-prg.fr, cong.xue@imj-prg.fr Salle : Adresse : Description

 Orateur(s) Yakov VARSHAVSKY - Hebrew University of Jerusalem, Titre On the transfer of Deligne-Lusztig functions (joint with David Kazhdan) Date 10/02/2011 Horaire 14:00 à 15:00 Diffusion Résume The transfer conjecture of Langlands-Shelstad (which is now a theorem due to Ngo and Waldspurger) asserts that for every function $f$ on a $p$-adic group $G$ there is a function $f^H$ on its endoscopic group $H$ which have matching orbital integrals''. In my talk I will explain how to construct function $f^H$ in the case when $f$ is an inflation of the character of Deligne-Lusztig representation. In the case when $G$ is split adjoint and the representation is unipotent we recover the conjecture of Kottwitz. Salle Adresse