Lecture----数学院晨兴数学中心

Title:	On mod p local-global compatibility for GL3 in the ordinary case
Speaker:	Florian Herzig (University of Toronto)
Time:	2015-4-28, 16:00-17:00
Place:	数学院南楼913
Abstract:	Suppose that rhobar : G_{Qp} -> GL3(Fpbar) is a maximally nonsplit, ordinary, Fontaine-Laffaille Galois representation. Then its "extension class" is determined by an invariant in Fpbar. In a global situation, under suitable hypotheses, we show that this invariant can be calculated using GL3(Qp)-representation theory. On the way we prove some new results about the Serre weights of rhobar. This is joint work with Stefano Morra.
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