Abstract: The Steklov problem is an eigenvalue problem with the spectral parameter in the boundary conditions, which has various applications. Recently, there has been a growing interest in the Steklov problem from the viewpoint of spectral geometry. While this problem shares some common properties with its more familiar Dirichlet and Neumann cousins, its eigenvalues and eigenfunctions have a number of distinctive geometric features, which makes the subject especially appealing. In the talk, based on a joint survey paper with A. Girouard, we discuss some recent advances and open questions, particularly in the study of spectral asymptotics, spectral invariants, eigenvalue estimates, and nodal geometry.

Coffee will be served at 12:00 before the lecture
at Schreiber building 006