##### Department of Mathematics,

University of California San Diego

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### Math 209 - Number Theory

## Wieslawa Niziol

#### University of Utah

## Semistable Conjecture via K-theory: the case of open varieties

##### Abstract:

\indent In $p$-adic Hodge Theory, comparison morphisms relate $p$-adic etale cohomology of varieties over local fields of mixed characteristic $(0,p)$ with their de Rham cohomology. I will present a construction of such a morphism that uses Chern classes from motivic cohomology into etale and de Rham cohomology.

Host: Kiran Kedlaya

### October 14, 2011

### 1:00 PM

### AP&M 6402

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