Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Speaker:
Prof. Florian Herzig,University of Toronto
Inviter:
Title:
On mod p local-global compatibility for GL3 in the ordinary case
Time & Venue:
2015.4.28 16:00-17:00 N913
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.
Appendix：
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