Event
Polyakov Formulas for conical singularities in two dimensions| Title of the event | Polyakov Formulas for conical singularities in two dimensions |
| Series | KolloquiumGRK |
| Organizer | Fakultät für Mathematik und Informatik |
| Speaker | Clara Aldana |
| Speaker institution | Universidad del Norte, Colombia |
| Type of event | Kolloquium |
| Category | Forschung |
| Registration required | Nein |
| Details | 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. |
| Date | Start: 08.07.2021, 16:15 Uhr Ende: 08.07.2021 , 17:15 Uhr |
| Location |
Mathematisches Institut (Bunsenstr 3-5) Online https://uni-goettingen.zoom.us/j/91336854872 |
| Contact |
0551/39.27752 linda.cassel@mathematik.uni-goettingen.de |