Orateur(s) | Paul-James WHITE - Institut Mathématique de Jussieu,
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Titre | Overconvergent Langlands functoriality for the tensor product $U(2)\times U(3)$ on the definite unitary group |
Date | 03/12/2009 |
Horaire | 14:00 à 15:00 |
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Résume | We 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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