##### Department of Mathematics,

University of California San Diego

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### Algebraic Geometry Seminar

## Ronny Hadani

#### University of Chicago

## Group representation patterns in digital signal processing II: the geometric Weil representation

##### Abstract:

This talk is a sequel to my colloquium talk, given earlier in the day. My main objective is to introduce the geometric Weil representation which is an algebra-geometric (l-adic Weil sheaf) counterpart of the Weil representation. Then, I will explain how the geometric Weil representation is used to prove to main result stated in my colloquium talk. In the course, I will explain Grothendieck's geometrization procedure by which sets are replaced by algebraic varieties and functions by sheaf theoretic objects.

Host: Wee Teck Gan

### January 16, 2009

### 3:00 PM

### AP&M 7321

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