Caltech/UCLA Joint Analysis Seminar

A basic problem in mathematical physics is to understand the spacings between eigenvalues of the Laplacian defined on various manifolds. The simplest case, which is already difficult, is the case of generic flat tori. I will discuss some conjectures and recent results on small and large gaps between consecutive eigenvalues of the Laplacian on generic flat tori. This will describe joint works with Aistlaitner, Blomer, Bourgain and Rudnick.