Applied Mathematics Seminar

September 9 (Wednesday) 4:00PM - 5:00PM, Monroe 267

Speaker: Yannick Sire, Johns Hopkins University

Title: Bounds on eigenvalues on riemannian manifolds"

Abstract: I will describe several recent results with N. Nadirashvili where we construct extremal metrics for eigenvalues on riemannian surfaces. This involves the study of a Schrodinger operator. As an application, one gets isoperimetric inequalities on the 2-sphere for the third eigenvalue of the Laplace Beltrami operator.