Iosif Polterovich (University of Montreal)
Spectral geometry of the Steklov problem
The Steklov problem is an eigenvalue problem with the spectral parameter in the boundary conditions.
It has many physical applications, particularly to hydrodynamics, vibration theory, etc.
Recently, there has been a growing interest in the Steklov problem from the viewpoint of spectral geometry.
I will discuss some recent advances, in particular on the study of spectral invariants, eigenvalue estimates and asymptotics.
The talk is based on joint works with Alexandre Girouard (Université Laval), Leonid Parnovski (University College London) and David Sher (University of Michigan).