##### Department of Mathematics,

University of California San Diego

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### Math 295 - Mathematics Colloquium

## Yuri Zarhin

#### Penn State University

## Finite automorphism groups of algebraic varieties

##### Abstract:

A classical theorem of Jordan asserts that every finite subgroup $B$ of the complex general linear (matrix) group $GL(n)$ contains an abelian (normal) subgroup $A$ such that the index of $A$ in $B$ does not exceed a universal constant that depends only on $n$. We discuss analogues of Jordan's theorem where the matrix group is replaced by the group of biregular (or birational) automorphisms of a complex algebraic variety, or by the diffeomorphism group of a smooth real manifold.

Host: Cristian Popescu

### May 7, 2015

### 4:00 PM

### AP&M 6402

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