In the talk I will discuss applications of the solution of the classical Plateau problem in metric spaces to Alexandrov spaces with upper curvature bounds and to parametrization of surfaces, based on a joint work with Stefan Wenger. I will mention potential applications to the theory of spaces with Ricci curvature bounds.
Links:
[1] http://www.mpim-bonn.mpg.de/de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/de/node/3444
[3] http://www.mpim-bonn.mpg.de/de/node/7138