Minimal discs in CAT(0) spaces

  • Date:

    22.05.2018

  • Speaker:

    Stephan Stadler

  • Time:

    13:30-14:30

  • Source:

    Minimal discs in CAT(0) spaces

  • Abstract: Minimal surfaces provide an indispensable tool in Riemannian geometry. Part of their success and the large variety of applications roots in the well understood structure of minimal discs. A classical result says that these are smooth branched immersions. In the lecture we will recall basics of the theory of minimal discs in metric spaces after Lytchak and Wenger. We will then present an optimal structural result in the setting of CAT(0) spaces: Each minimal disc is a local embedding away from a finite set of "branch points". Next we will discuss applications to the geometry and topology of CAT(0) spaces.
  • Place:

    1.067 (20.30)