# 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) Tobias Schmidt - Humboldt-Universität Berlin, Titre $D$-modules, Drinfeld coverings and admissible representations Date 11/05/2015 Horaire 10:30 à 12:00 Diffusion Résume Let $G$ be a $p$-adic split reductive group and $X$ its adic flag variety. We explain how the category of locally analytic $G$-representations (with trivial infinitesimal character) embeds into a category of equivariant arithmetic $D$-modules on $X$. As an application we show, in the case of $\mathrmGL(2)$, that representations coming from equivariant bundles on Drinfeld's first étale covering of the $p$-adic upper half plane are admissible. Salle Adresse