##### Department of Mathematics,

University of California San Diego

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### Math 209 - Number Theory

## Dihua Jiang

#### University of Minnesota

## Nonvanishing of the Central Value of Certain L-functions

##### Abstract:

Based on the recent progress in the Langlands functoriality for classical groups, we establish the relation between the central value of the Rankin-Selberg L-functions for GL(n) x GL(m) and certain periods of automorphic forms on classical groups. Such a relation is a natural generalization of Gross-Prasad conjecture made about 10 years ago. The lecture is based on the joint work with Ginzburg and Rallis.

Host: Wee Teck Gan

### November 16, 2006

### 1:00 PM

### AP&M 7321

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