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 )
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. |