Séminaires : Séminaire Théorie des Nombres

Equipe(s) : fa, tn, tga,
Responsables :Marc Hindry, Bruno Kahn, Wieslawa Niziol, Cathy Swaenepoel
Email des responsables : cathy.swaenepoel@imj-prg.fr
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http://www.imj-prg.fr/tn/STN/stnj.html

 


Orateur(s) E. Ghate - ,
Titre Modular endomorphism algebras
Date03/06/2002
Horaire14:00 à 16:00
Diffusion
RésumeWe 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.
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