School of Mathematics Seminars and Lectures

On the reduction modulo p of certain modular Galois representations

by Prof. Abhik Ganguli (IAS, Princeton and Rutgers University, USA)

Wednesday, February 29, 2012 from to (Asia/Kolkata)
at Colaba Campus ( AG-77 )
Description
We determine the modulo p reduction of p-adic Galois representations
associated to certain modular forms with arbitrarily large weight.
Confining the crystalline slope to (0,1), the reductions can be computed
by a weight lowering technique. We show that the mod p Galois representation
comes from an eigenform with sufficiently small weight and apply known
results for the small weights range.