##### Department of Mathematics,

University of California San Diego

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### Math 256 - Representation Theory

## Marty Weissman

#### UC Berkeley

## D4 modular forms

##### Abstract:

I will discuss modular forms on two algebraic groups of type D4. These two groups are naturally associated to the two octonion algebras over the rationals. After introducing the basic properties of modular forms on these two groups, I will discuss a theta-correspondence between them. This can be thought of as an octonionic generalization of the Jacquet-Langlands correspondence.

Host: Wee Teck Gan

### November 18, 2003

### 1:30 PM

### AP&M 7321

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