##### Department of Mathematics,

University of California San Diego

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### p-adic modular forms Seminar

## Yuval Flicker

#### Ohio State University

## Potential level-lowering for a genus two symplectic group

##### Abstract:

Given an algebraic automorphic representation of a genus two symplectic group over a totally real number field with an Iwahori-spherical component at a finite place $w$, we shall show - following Sorensen - that there is a congruent automorphic representation with a tamely ramified principal series component at $w$. Thus after a base change to a finite solvable totally real extension, the level at $w$ can be lowered.

Host: Wee Teck Gan

### April 24, 2008

### 10:30 AM

### AP&M 7218

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