时间：12月11日（周三）10:30-11:30

地点：必赢76net线路官网北二区教学楼 516 教室

摘要: We make use of the notion of finite slope families to encode the local properties of the p-adic families of Galois representations appearing in the work of Harris, Lan, Taylor and Thorne on the construction of Galois representations for (non-self dual) regular algebraic cuspidal automorphic representations of GL(n) over CM fields; this generalizes the original definition of finite slope families given by Skinner-Urban in their ICM talk. Our main result is to prove the analytic continuation of semi-stable (and crystalline) periods for such families. This provides a necessary ingredient to Skinner-Urban's ICM program, and will be applied to verify the geometric properties of the Galois representations constructed by Harris, Lan, Taylor and Thorne.