Marc Hindry, Bruno Kahn, Wieslawa Niziol, Cathy Swaenepoel
Email des responsables :
cathy.swaenepoel@imj-prg.fr
Salle :
Adresse :
Description
http://www.imj-prg.fr/tn/STN/stnj.html
Orateur(s)
E. Ghate - ,
Titre
On the local semi-simplicity of ordinary modular Galois representations
Date
05/04/2004
Horaire
14:00 à 16:00
Diffusion
Résume
Let $f$ 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.
