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) Harald GROBNER - IMJ,
Titre Arithmetic of Automorphic Forms of $GL(n)$ over division algebras
Date12/12/2011
Horaire10:30 à 11:30
RésumeIn this talk we will present new results on the arithmetic of automorphic forms of the group $GL(n,D)$, $D$ being a central simple division algebra over a number field $F$. Our results are generalizations of results obtained in the split case, i.e., $D=F$, by Shimura, Harder, Waldspurger and Clozel for square-integrable automorphic forms and also of Franke and Franke-Schwermer for general automorphic representations. The global Jacquet-Langlands Correspondence, which was recently developed by Badulescu and Badulescu-Renard, will be an important tool. (This is joint work with A. Raghuram.)
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