##### Department of Mathematics,

University of California San Diego

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### Math 209 - Number Theory

## Veronika Ertl

#### University of Utah

## Overconvergent Chern classes

##### Abstract:

For a proper smooth variety over a perfect field of characteristic p, crystalline cohomology is a good integral model for rigid cohomology and crystalline Chern classes are integral classes which are rationally compatible with the rigid ones. The overconvergent de Rham-Witt complex introduced by Davis, Langer and Zink provides an integral p-adic cohomology theory for smooth varieties designed to be compatible with rigid cohomology in the quasi-projective case. The goal of this talk is to describe the construction of integral Chern classes for smooth varieties rationally compatible with rigid Chern classes using the overconvergent complex.

Host: Kiran Kedlaya

### May 2, 2013

### 2:00 PM

### AP&M 7321

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