Department of Mathematics

Prof. Dr. Dorothee Schüth, HU Berlin: "On the heat coefficients of geodesic polygons"

Jun 08, 2018 from 04:15 PM to 05:15 PM

LMS 4 - Raum 424 - Kleiner Hörsaal

Abstract:

The heat invariants of a compact Riemannian manifold are the coefficients which appear in the asymptotic expansion of its heat trace, and are therefore determined by the eigenvalue spectrum of the Laplace operator. They are expressible in terms of the curvature of the mani­fold. In this context, we review old and new results and questions surrounding the intriguing interplay between spectrum and curvature, with an emphasis on geodesic polygons in sur­faces.

Einladende: Fachbereich Geometrie

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