##### Department of Mathematics,

University of California San Diego

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### Math 209 - Number Theory

## Jeremy Booher

#### University of Arizona

## G-Valued Galois Deformation Rings when l is not p

##### Abstract:

Let G be a smooth group scheme over the p-adic integers with reductive generic fiber. We study the generic fiber of the universal lifting ring of a G-valued mod-p representation of the absolute Galois group of an l-adic field. In particular, we show that it admits an open dense regular locus, and is equidimensional of dimension dim G. This is joint work with Stefan Patrikis.

Host: Claus Sorensen

### November 2, 2017

### 2:00 PM

### AP&M 7321

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