Geometric Spectral Theory

Abstract

Spectral geometry is a rapidly developing field with new classes of operators, boundary value problems and geometric objects arising in different applications. At the same time, classical problems continue gaining novel flavors. The main focus of the workshop was on some of the most significant recent developments in geometric spectral theory including geometry of eigenvalues and eigenfunctions, singular spectral problems, and spectral optimization. The talks were complemented by three thematic open problem sessions on the main topics of the meeting.