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Séminaire de Théorie des Nombres

Modular endomorphism algebras at super cuspidal primes

Debargha Banerjee

( Indian Institute of Science Education and Research )

Salle de Conférences

le 17 novembre 2017 à 14:00

Let ff be a primitive non-CM cusp form of weight two or more. The endomorphism algebra X_f (attached to f) is a 2-torsion element in the Brauer group of some number field. We give a formula for the ramification of X_f locally for all places lying above super cuspidal primes. For p=2, we also treat the interesting case where the image of the Weil-Deligne representation attached to f is an exceptional group. This is a joint work with my student Tathagata Mandal.