# 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) Peter SCHOLZE - Universität Bonn, Titre A new approach to the Local Langlands Correspondence for $GL_n$ over $p$-adic fields Date 13/01/2011 Horaire 14:00 à 15:00 Diffusion Résume We give a new local characterization of the Local Langlands Correspondence, using deformation spaces of $p$-divisible groups, and show its existence by a comparison with the cohomology of some Shimura varieties. This reproves results of Harris-Taylor on the compatibility of local and global correspondences, but completely avoids the use of Igusa varieties and instead relies on the classical method of counting points a la Langlands and Kottwitz. Further, we have a new proof of bijectivity of this correspondence, relying on a description of the inertia-invariant nearby cycles in certain situations. Salle Adresse