##### Department of Mathematics,

University of California San Diego

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### Math 209 - Number Theory

## Brooks Roberts

#### University of Idaho

## Global newforms for $GSp(4)$

##### Abstract:

This talk is about joint work with Ralf Schmidt, and follows his talk on local newforms for $GSp(4)$ (in the representation theory seminar on Tues, Feb 1st). In this talk we will discuss a conjecture which describes a theory of Siegel modular newforms of degree two with respect to the paramodular group. Using our local theory, we will indicate how this conjecture follows from a corresponding conjecture in the language of automorphic representations. Finally, we will discuss how the corresponding conjecture is implied by the conjectural detailed structure of the discrete spectrum of $GSp(4)$.

Host: Wee Teck Gan

### February 3, 2005

### 2:00 PM

### AP&M 7321

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