Bubbling phenomena for Willmore surfaces

Date/heure
4 novembre 2019
14:00 - 15:00

Oratrice ou orateur
Nicolas Marque

Catégorie d'évènement
Séminaire de géométrie différentielle


Résumé

The Willmore energy arises naturally as a measure of how curved an immersed surface in $mathbb{R}^3$ is, with applications in relativity (the Hawking mass). Willmore immersions are critical points of this energy. We will study sequences of Willmore surfaces, which are subject to concentration-compactness i.e. : bubbling phenomena. We will focus on simple minimal bubbles, and detail consequences on the compactness below certain thresholds.