Expanders of the harmonic map flow

Tobias Lamm, Karlsruhe Institute of Technology
Fine Hall 314

Expanding self-similar solutions of a given evolution equation create an ambiguity in the continuation of the flow after it reached a first singularity. In this talk, wer investigate the possibility of smoothing out any map from the n-sphere to any closed Riemannian hypersurface, that is homotopic to a constant by a self-similar solution of the harmonic map flow. This is a joint work with Alix Deruelle.