Analysis of Nonlocal Conformal Invariant Variational Problems

Explore the fourth lecture in a series on nonlocal conformal invariant variational problems, delivered by Francesca Da Lio at the Hausdorff Center for Mathematics. Delve into the analysis of free-boundary minimal surfaces, a topic of significant recent interest. Begin by reviewing key concepts of conformal invariant problems in two dimensions and examining aspects of integrability by compensation theory. Then, discover how this theoretical framework can be extended to nonlocal contexts. Gain insights into advanced mathematical concepts during this 57-minute lecture, which builds upon previous sessions in the series.