Title: Half-harmonic maps, minimal surfaces with free boundary and Ginzburg-Landau approximation
Speaker: Yannick Sire, Johns Hopkins
Abstract: I will report on results related to a new program giving a new viewpoint on an old topic, minimal surfaces with free boundary. I will describe first the standard theory of harmonic maps before moving to the case of half-harmonic maps (into spheres) introduced by Da Lio and Riviere. The main part of the talk will be to describe the Ginzburg-Landau approximation of those latter maps. I will describe several open problems and possible new directions of research.
Seminar URL: https://research.math.osu.edu/pde/