Séminaire de Théorie des Nombres de Montpellier
vendredi 15 mai 2009 à 11:00 - Salle à preciser
Eknath Ghate (Tata Institute of Fundamental Research)
Adjoint Lifts and the Ramification of Modular Endomorphism Algebras
We shall explain how the slopes of an automorphic form, closely related to the Jacquet-Gelbart adjoint lift of a holomorphic cuspidal eigenform f, almost completely determine the Brauer class of the endomorphism algebra of the motive M_f attached to f. This is partly joint work with Debargha Banerjee.