Willmore Surfaces, a Topic between Analysis and Geometry

Francesco Palmurella - Scuola Normale Superiore
Willmore Surfaces, a Topic between Analysis and Geometry

Abstract
There are various ways that lead to consider Willmore surfaces:
merging the study of minimal surfaces and conformal invariance, considering nonlinear models for elastic plates, or as a example of a 4th-order PDE problem in geometric analysis. I will give a brief general description of this topic, introduce some of the challenges it offers to an analyst, and finally present some aspects close to my research in this area, namely boundary value problems and associated gradient flow.

The Seminar will be held in a hybrid mode, allowing participants to attend either physically on-site or virtually online.
Link to join meeting (Teams).

If someone not affiliated to Scuola Normale is interested in attending in presence, please send an e-mail to andrea.malchiodi@sns.it including a phone number.