Nicolas Marque (Université Paris 7 Diderot) will speak in the geometry seminar on Tuesday 8 October 2019 at 11am in the Salle de Profs. Nicolas’ title is Bubbling phenomenons for Willmore surfaces and his abstract is below.
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 phenomenons i.e. : bubbling phenomenons. We will focus on simple minimal bubbles, and detail consequences on the compactness below certain thresholds.