Wednesday, March 4, 2020 3:15 PM
Iosif Polterovich (Montreal)

Geometric optimization of Laplace eigenvalues on surfaces under the area constraint is closely linked to the study of minimal surfaces in spheres and harmonic maps. I will discuss some recent developments in the subject, including a  solution of the maximization problem for higher eigenvalues on the 2-sphere.  The talk is based on a joint work with M. Karpukhin, N. Nadirashvili and A. Penskoi.