##### Department of Mathematics,

University of California San Diego

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### Math 211B - Group Actions Seminar

## Elyasheev Leibtag

#### Weizmann Institute

## Images of algebraic groups and mixing properties

##### Abstract:

Let G be an algebraic group over a local field. We will show that the image of G under an arbitrary continuous homomorphism into any (Hausdorff) topological group is closed if and only if the center of G is compact. We will show how mixing properties for unitary representations follow from this topological property.

Host: Brandon Seward

### November 16, 2023

### 10:00 AM

Zoom ID 96741093409

Research Areas

Ergodic Theory and Dynamical Systems****************************