Arithmetic Geometry and Number Theory RTG Seminar: Constancy of generalized Hodge-Tate weights of a p-adic local system

Seminar | April 30 | 3:10-5 p.m. | 748 Evans Hall

 Koji Shimizu, Harvard University

 Department of Mathematics

Sen attached to each p-adic Galois representation of a p-adic field a multiset of numbers called generalized Hodge-Tate weights. In this talk, we regard a p-adic local system on a rigid analytic variety as a geometric family of Galois representations and show that the multiset of generalized Hodge-Tate weights of the local system is constant. The pretalk is designed to be a quick introduction to p-adic Hodge theory.

Seminar Format: The seminar consists of two 50-minute talks, a pre-talk (3:10-4:00) and an advanced talk (4:10-5:00), with a 10-minute break (4:00-4:10) between them. The advanced talk is a regular formal presentation about recent research results to general audiences in arithmetic geometry and number theory; the pre-talk (3:10-4:00) is to introduce some prerequisites or background for the advanced talk to audiences consisting of graduate students.