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Area minimizing surfaces for singular configurations of boundary curves

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Paul Creutz
Universität zu Köln
Don, 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

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