Area minimizing surfaces for singular configurations of boundary curves

Let g be a nonnegative integer and C be a finite configuration of disjoint Jordan curves in Euclidean space. Then, by a classical result of Douglas, there is an area minimizer among all surfaces of genus at most g which span C. In the talk we will discuss a generalization of this theorem to singular configurations C of possibly non-disjoint or self-intersecting curves. Furthermore, the talk will contain new existence results for regular curve configurations C in general metric ambient spaces.

This is joint work with M. Fitzi.

The seminar is virtual via Zoom. If you are interested in participating, please contact Stephan Stadler
 (stadler@mpim...)