##### Department of Mathematics,

University of California San Diego

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### Number Theory

## James Parson

#### University of Michigan

## Congruences between modular forms

##### Abstract:

The old subject of congruences between elliptic modular forms has lately become relevant to contemporary arithmetic issues, notably by its role in Wiles\' arguments related to the Taniyama-Shimura conjecture. Some classical results on such congruences will be discussed and an approach based on the modular representation theory of reductive groups will be proposed.

Host: Stark

### May 29, 2003

### 2:30 PM

### AP&M 6438

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