中科院数学与系统科学研究院
数学研究所
学术报告会
报告人：Prof. Florian Herzig（University of Toronto）
题 目：On mod p local-global compatibility for GL3 in the ordinary case
时 间：04.28（星期二）, 16:00--17:00
地 点：数学院南楼N913室
摘要： 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.