Emilio Lauret (Humboldt-Universität zu Berlin)
Thursday, February 15, 2018 - 11:00
MPI für Mathematik in den Naturwissenschaften Leipzig
Inselstr. 22, 04103 Leipzig, E1 05 (Leibniz-Saal), 1. Etage
Inverse spectral geometry studies in what extent the spectrum of the Laplace operator determines the geometry of a Riemannian manifold. The interest on this area increased a lot after M. Kac's article "Can one hear the shape of a drum?" in the 60's. It has been recently discovered that the spectrum of the Laplace operator of a lens space (a quotient of a sphere by a cyclic group) can be encoded by the Ehrhart series of certain (very particular) polytope. It may be expected that some problems in spectral geometry can be solved by using Ehrhart theory. In this talk, we will recall the mentioned connection in an elementary way. It will not be assumed any knowledge on spectral geometry.
submitted by Saskia Gutzschebauch (Saskia.Gutzschebauch@mis.mpg.de, 0341 9959 50)