# 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 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. Salle Adresse
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