The INI has a new website!

This is a legacy webpage. Please visit the new site to ensure you are seeing up to date information.

Isaac Newton Institute for Mathematical Sciences

Symmetry tricks in spectral geometry

2nd August 2006

Author: Levitin, M (Heriot-Watt University)


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