Vortrag: "Classical Plateau problem in non-classical spaces"
Alexander Lytchak (Köln)
- https://www.uni-giessen.de/de/fbz/fb07/fachgebiete/mathematik/mathematik/kalender/2015/2015-06-03
- Vortrag: "Classical Plateau problem in non-classical spaces"
- 2015-06-03T17:00:00+02:00
- 2015-06-03T18:00:00+02:00
- Alexander Lytchak (Köln)
03.06.2015 von 17:00 bis 18:00 (Europe/Berlin / UTC200)
Hörsaal des Mathematischen Instituts in der Arndtstraße 2, 1. Stock, Raum 111
Ein Vortrag im Rahmen des Seminars "Gruppen, Geometrie, Dynamik".
Um 16:30 Uhr gibt es vorab Tee und Kekse im Runden Zimmer der Bibliothek des Mathematischen Instituts.
Die Dozenten des Mathematischen Instituts laden alle Interessierten herzlich ein.
Abstract
The question of Plateau concerns the soap films: objects of minimal area spanning a given curve in the Euclidean spaces. The most classical answer to this question has been provided by Rado and Douglas and proves the existence of parametrized discs of minimal area spanning an arbitrary Jordan curve. The result was generalized by Morrey to Riemannian manifolds. In the talk I will discuss a solution of the Plateau problem in arbitrary metric spaces, regularity of the solutions and some applications to isoperimetric problems.