# STP

## Seminar

### Symmetry tricks in spectral geometry

Seminar Room 2, Newton Institute Gatehouse

#### Abstract

We show the use of symmetry tricks in solving two problems of spectral geometry. One is a partial case g=2 of the question ''How large can the first eigenvalue be on a surface of genus g?'' Another is a modification of the famous Mark Kac's question, ''Can one hear the shape of a drum?'' The questions (or, rather, our answers) are suprisingly related