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
Modular endomorphism algebras
Date
03/06/2002
Horaire
14:00 à 16:00
Diffusion
Résume
We study the endomorphism algebra of the motiveattached to a non-CM elliptic modular cusp form. We prove that thisalgebra has the structure of a crossed product algebra over anumber field. As a consequence we obtain the Tate conjecture for themotive. We then investigate the Brauer class of this algebra.We show that in many cases it is locally at $p$ determined by the$p$-adic valuations of the Fourier coefficients of the form.This is joint work with Alexander Brown.