June 3, 2010

Time: 15:00 - 16:00

Room: to be confirmed

Pangiotis Tsaknias, University of Essen

Modular Galois representations mod \lambda^n

Abstract:
Starting with a modular Galois representation with coefficients in $O/\lambda^n$
(here O is a ring of integers and lambda a prime ideal) that satisfies certain conditions, I will describe
some sort of analogue to the strong Serre's conjecture concerning the level aspect of it, i.e.
how to show that the representation is modular, of an "optimal" level.