Algebraic Geometry Seminar

Constancy of generalized Hodge-Tate weights of a p-adic local system

Speaker: Koji Shimizu, Harvard University

Location: Warren Weaver Hall 317

Date: Tuesday, February 20, 2018, 3:30 p.m.


A local system on a variety over a p-adic field can be regarded as a family of Galois representations parametrized by the variety. In this talk, we show the set of generalized Hodge-Tate weights, which is one of the basic invariants in Galois representations, is constant in such a geometric family. The proof uses a geometric p-adic Riemann-Hilbert correspondence by R. Liu and X. Zhu and the theory of formal integrable connections.