Laplace eigenvalues via asymptotic separation of variables

Friday, November 19, 2010 -
3:00pm to 4:00pm
We study the behavior of eigenvalues under geometric perturbations using a method that might be called asymptotic separation of variables. In this method, we use quasi-mode approximations to compare the eigenvalues of a warped product and another metric that is asymptotically close to a warped product. As one application, we shoe that the generic Euclidean triangle has simple Laplace spectrum. This is joint work with Luc Hillairet.
Chris Judge
Indiana University
Event Location: 
Fine Hall 314