Vorträge in der Woche 30.10.2023 bis 05.11.2023
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Donnerstag, 02.11.2023: Sobolev regularity of compactified 3-manifolds
Dr. Rodrigo Avalos (Universität Tübingen)
In this talk we shall discuss the relation between an asymptotically Euclidean manifold and its 1-point conformal compactification , and highlight how this procedure usually implies a drastic loss of regularity around the point of compactification. Understanding the precise degree of regularity of the compactified manifolds is a subject that finds several applications within geometric analysis and mathematical general relativity, and intersects subtle questions associated with regularity of solutions to geometric elliptic PDEs. The main goal of this talk will be to describe the relation between these problems, and present new results related to ongoing research in this direction. We will outline how to analyse the precise Sobolev regularity of the compactified manifold, highlighting the main difficulties in the process, which involve, among other things, some regularity results for elliptic operators with coefficients of fairly low regularity. Finally, we shall also comment on the impact of these results within mathematical general relativity.
| Uhrzeit: | 14:00 |
| Ort: | N14 (C-Bau) and virtual via zoom, for zoom link please contact Martina Neu |
| Gruppe: | Oberseminar Geometrische Analysis, Differentialgeometrie und Relativitätstheorie |
| Einladender: | Carla Cederbaum, Gerhard Huisken, zusammen mit Jan Metzger (Potsdam) |
Donnerstag, 02.11.2023: Some observations on quasi-local mass and quasi-local radius
Prof. Dr. Gerhard Huisken (Universität Tübingen)
The lecture examines older and newer concepts of quasi-local mass for one domain relative to another as well as concepts of quasi-local radius in relation to the hoop-conjecture.
| Uhrzeit: | 15:30 |
| Ort: | N14 (C-Bau) and virtual via zoom, for zoom link please contact Martina Neu |
| Gruppe: | JoMaReC |
| Einladender: | Carla Cederbaum |