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Modular endomorphism algebras at supercuspidal primes

Posted in
Debargha Banerjee
Wed, 2017-09-27 14:15 - 15:15
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

Let $f$ 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
supercuspidal 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 Tathagata Mandal.

October 4, there is the Aach-Bonn-Koeln-Lille-Siegen automorphic form seminar taken
place in Cologne and we will be going with a group there.

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