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Friday, October 19, 2018
4:00 PM - 4:45 PM
Linde Hall 310

Caltech/UCLA Joint Analysis Seminar

Gaps between consecutive eigenvalues of the Laplacian on generic flat tori
Maksym Radziwill, Department of Mathematics, Caltech,
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.
For more information, please contact Mathematics Department by phone at 626-395-4335 or by email at mathinfo@caltech.edu.