Event
Lorentzian geometry, dominant energy condition and Dirac-Witten operators| Title of the event | Lorentzian geometry, dominant energy condition and Dirac-Witten operators |
| Series | KolloquiumGRK |
| Organizer | Fakultät für Mathematik und Informatik |
| Speaker | Jonathan Glöckle |
| Speaker institution | Universität Regensburg |
| Type of event | Kolloquium |
| Category | Forschung |
| Registration required | Nein |
| Details | The development of Relativity Theory triggered the study of Lorentzian manifolds. Notions such as Levi-Civita connection or curvature easily generalize to these strange geometric objects, where certain directions are distinguished as “lightlike”. The Riemannian world of our experience enters again, when we are considering embedded spacelike hypersurfaces. These do not only come with a Riemannian metric $g$ but also a second fundamental form $K$, describing the first order change of the metric. For physical reasons the pairs $(g, K)$ arising on such hypersurfaces are expected to satisfy a certain inequality -- the dominant energy condition -- that generalizes the condition of non-negative scalar curvature if $K = 0$. As for non-negative (or positive) scalar curvature, index theoretic methods can be used to study the (strict) dominant energy condition. In this context Dirac-Witten operators serve as the appropriate replacement for Dirac operators. |
| Date | Start: 15.04.2021, 16:15 Uhr Ende: 15.04.2021 , 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 |