KolloquiumGRK Polyakov Formulas for conical singularities in two dimensions |  |
Vortragende Person:Clara Aldana, Universidad del Norte, Colombia
Veranstaltungsort:Mathematisches Institut, Bunsenstr 3-5Onlinehttps://uni-goettingen.zoom.us/j/91336854872Gras Geo Map
Veranstalter:Fakultät für Mathematik und Informatik
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.
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.
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Veranstaltungsart:Kolloquium
Veranstaltungssprache:Englisch
Kategorie:Forschung
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Direkter Link zur Veranstaltung:https://events.goettingen-campus.de/event?eventId=25472
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