Overview

Geometric spectral theory focuses on the properties of eigenvalues and eigenfunctions of the Laplacian and  other differential operators defined on  geometric objects, such as Riemannian manifolds and Euclidean domains.  Many problems in the field are motivated by questions originating  in the study of real life phenomena: quantum-mechanical effects, vibration of membranes and plates, oscillations of fluids, etc.

The goal of the workshop is to present the latest research in geometric spectral theory, as well as  to generate a stimulating atmosphere, leading to new insights and results. Main topics include: quantum ergodicity,  geometry of nodal sets, eigenvalue estimates and spectral asymptotics.

The workshop features lectures by the 2011-2012 Aisenstadt Chair and 2010 Fields Medalist, Professor Elon Lindenstrauss (Hebrew University of Jerusalem).