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Veranstaltung

Polyakov Formulas for conical singularities in two dimensions

Titel der Veranstaltung Polyakov Formulas for conical singularities in two dimensions
Reihe KolloquiumGRK
Veranstalter Fakultät für Mathematik und Informatik
Referent/in Clara Aldana
Einrichtung Referent/in Universidad del Norte, Colombia
Veranstaltungsart Kolloquium
Kategorie Forschung
Anmeldung erforderlich Nein
Beschreibung In the first part of the talk I will introduce the regularized determinant of the Laplace operator on a Riemannian manifold and will explain the context and the motivation to consider Polyakov's formulas.
Then, I will present the formula for surfaces with conical singularities and smooth conformal factors, and for polygonal domains in a Riemannian surface. I will mention how we obtain the so-called variational Polyakov formula for cones and sectors and how in these cases we can obtain closed formulas for the determinant of the Laplacian. The results presented in this talk are joint work with Klaus Kirsten and Julie Rowlett, arxiv.org/abs/2010.02776.
Zeit Beginn: 08.07.2021, 16:15 Uhr
Ende: 08.07.2021 , 17:15 Uhr
Ort Mathematisches Institut (Bunsenstr 3-5)
Online
https://uni-goettingen.zoom.us/j/91336854872
Kontakt 0551/39.27752
linda.cassel@mathematik.uni-goettingen.de