Date/heure
17 novembre 2025
15:30 - 16:30
Oratrice ou orateur
Alejandro Penuela Diaz
Catégorie d'évènement Séminaire de géométrie différentielle
Résumé
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 recent results demonstrating that the Hawking energy exhibits key physical and mathematical properties—non-negativity, rigidity,
and monotonicity—when evaluated on a generalization of area-constrained Willmore surfaces (Hawking surfaces). In particular such properties hold for area-constrained Willmore surfaces on manifolds with nonnegative scalar curvature. These results establish Hawking surfaces as a useful tool for evaluating the Hawking energy and reinforce its potential as a meaningful tool for understanding gravitational phenomena.