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
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Description

Orateur(s) Tobias Schmidt - Humboldt-Universität Berlin,
Titre $D$-modules, Drinfeld coverings and admissible representations
Date11/05/2015
Horaire10:30 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.
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