##### Department of Mathematics,

University of California San Diego

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### Representation Theory

## Gordan Savin

#### University of Utah

## Matrix coefficients of unitary representations

##### Abstract:

Using a method of Howe we obtain explicit bounds on the decay of matrix coefficients of unitary representations of simply connected groups of type $A-D-E$. Moreover, we show that the minimal representation has matrix coefficients of slowest decay, and is isolated in the unitary dual of $E_7$ and $E_8$. This is a joint work with Hung Yean Loke.

Host: Wee Teck Gan

### January 4, 2005

### 2:00 PM

### AP&M 7321

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