Ziyang Gao, Marc Hindry, Bruno Kahn, João Pedro P. dos Santos

Email des responsables :

ziyang.gao@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.