Vorträge in der Woche 13.01.2025 bis 19.01.2025

Donnerstag, 16.01.2025: Rigidity and Monotonicity of the Hawking Energy on Hawking Surfaces

Alejandro Penuela Diaz (Universität Potsdam)

The Hawking energy is one of the simplest quasi-local energy definitions in general relativity. Despite its simplicity, the Hawking energy has faced challenges due to ambiguities when applied to general surfaces. In this talk, I will present my recent results demonstrating that the Hawking energy exhibits key physical and mathematical properties—non-negativity, rigidity, and monotonicity—when evaluated on Hawking surfaces, a class of critical surfaces of the Hawking functional. These results establish Hawking surfaces as useful tool for evaluating the Hawking energy and reinforce its potential as a meaningful tool for understanding gravitational phenomena.

Freitag, 17.01.2025: Die Spektralsequenz von Atiyah und Hirzebruch

David Seez M.Sc. (Uni Tübingen)