Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Paul Creutz
Affiliation:

Universität zu Köln
Date:

Thu, 05/11/2020 - 16:30 - 18:00 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

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/node/3050