# Séminaires : Séminaire Groupes Réductifs et Formes Automorphes

 Equipe(s) : fa, tn, Responsables : Alexis Bouthier, Benoît Stroh Email des responsables : alexis.bouthier@imj-prg.fr, benoit.stroh@imj-prg.fr Salle : Adresse : Description

 Orateur(s) Maarten SOLLEVELD - Goettingen Universität, Titre The noncommutative geometry of reductive p-adic groups Date 29/11/2007 Horaire 14:00 à 15:00 Résume The aim of this talk is to gain more insight in the spectrum of irreducible smooth representations of a reductive p-adic group G. The noncommutative geometer's approach is to compute the cohomology'' of this spectrum, even though it is not Hausdorff. There are (at least) three natural candidates for this cohomology: 1) the K-theory of the reduced C*-algebra of G, 2) the periodic cyclic homology of the Harish-Chandra-Schwartz algebra of G, 3) the periodic cyclic homology of the Hecke algebra of G. We will show that these three invariants are naturally isomorphic, and we will explain the representation-theoretic content of this result. We will also discuss the relation with the Baum-Connes conjecture. Salle Adresse