Number Theory Seminar: Sandra Rozensztajn

I will talk about the problem of studying the reduction modulo p of crystalline representations of dimension 2 of the Galois group of Q_p. In particular, I will be interested in the following situation: fix Hodge-Tate weights and a residual representation, and consider the locus parametrizing crystalline representations with the given weights and reduction modulo p. What can be said about this locus in general? 

(This talk is part of the PIMS Focus Semester on the mod p Langlands program).