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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Orateur(s) Paul-James WHITE - Institut Mathématique de Jussieu,
Titre Overconvergent Langlands functoriality for the tensor product $U(2)\times U(3)$ on the definite unitary group
Date03/12/2009
Horaire14:00 à 15:00
Diffusion
RésumeWe extend the work of Clozel-Harris-Labesse to obtain additional cases of endoscopic transfer on the definite unitary group. These allow us to in a sense lift some of the results of Ramakrishnan and Kim-Shahidi on the automorphic tensor product on $GL(2)\times GL(2)$ and $GL(2)\times GL(3)$ to the definite unitary group. We then apply the work of Chenevier to obtain rigid analytic morphisms between eigenvarieties associated to the corresponding cases of overconvergent Langlands functoriality.
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