Séminaires : Séminaire Théorie des Nombres

Equipe(s) : tn,
Responsables :Ziyang Gao, Marc Hindry, Bruno Kahn, João Pedro P. dos Santos
Email des responsables : ziyang.gao@imj-prg.fr
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Orateur(s) E. Ghate - ,
Titre On the local semi-simplicity of ordinary modular Galois representations
Date05/04/2004
Horaire14:00 à 16:00
RésumeLet $f$ be a $p$-ordinary primitive cusp form of weight at least 2. Then the restriction to a decomposition group at $p$ of the two dimensional $p$-adic Galois representation attached to $f$ is upper-triangular. When $f$ has complex multiplication it is not hard to see that it is even diagonal. In this talk we will provide some evidence which shows that the converse also holds. This is joint work with Vinayak Vatsal.
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