Spectral Asymptotics of Dirac Operators on a Stationary Spacetime Onirban Islam, Ph.D., Institut für Mathematik, Universität Potsdam Host: Siddiqur Rahman, OSU This is a Zoom talk. The host will send a link a couple of hours before the talk.
Abstract: In the traditional setting, spectral asymptotics explores the
interplay between the spectral data of geometric differential operators
and the underlying Riemannian geometry. In this talk, a general
relativistic generalization of this notion will be presented. In
particular, I shall show the Weyl asymptotic on the manifold of
lightlike geodesics by generalizing the Duistermaat-Guillemin-Gutzwiller
trace formula for Dirac-type operators on a globally hyperbolic
spatially compact spacetime.
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