Automorphic Forms and Representation Theory Seminar, Robin Bartlett, King's College, London, MATH 731
Thursday, May 24 1:30 pm - 2:30 pm
Title of Talk: The reduction modulo p of crystalline representations of small Hodge--Tate weights.
I will discuss an extension to GLn of a result of Gee--Liu--Savitt on the reduction modulo p of crystalline representations with Hodge--Tate weights in the interval [0,p]. The methods are purely local, using tools from p-adic Hodge theory. I will explain how these results are related to the weight part of Serre's conjecture beyond dimension