Iosif Polterovich: Steklov spectral asymptotics: seventy years and counting

Speaker
Iosif Polterovich, Universite de Montreal

Abstract
The first results on spectral asymptotics for the Steklov problem date back to the contributions of Sandgren and Hörmander in the 1950s. A major progress in two dimensions was achieved by Rozenblum two decades later. Despite considerable developments since then, the study of Steklov eigenvalues and eigenfunctions in the high-frequency regime remains a rapidly evolving area of research. In this talk, we provide an overview of the field, highlighting some recent advances and related open questions.