Bounds on eigenvalues on riemannian manifolds

Series: 
CDSNS Colloquium
Friday, September 11, 2015 - 15:00
1 hour (actually 50 minutes)
Location: 
Skiles 006
,  
John Hopkins University
Organizer: 
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.