##### Department of Mathematics,

University of California San Diego

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### Math 209 - Number Theory

## Koji Shimizu

#### Harvard University

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

##### Abstract:

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.

Host: Claus Sorensen

### February 1, 2018

### 1:00 PM

### AP&M 7321

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