Seminar talk, 9 February 2011

Speaker: Alexei Penskoi

Title: Extremal spectral properties of Lawson tau-surfaces and the Lamé equation

Abstract:
Study of extremal Riemannian metric for eigenvalue of the Laplace-Beltrami operator is a difficult task of differential geometry, in which there have been very significant advances in 2000s.

The talk will discuss a few previously known facts and recently obtained by the speaker results on extremal spectral properties of Lawson tori and Klein bottles and their relation to the Lamé equation.

This talk will be accessible to non-specialists.