Uniqueness of limits in geometric flows

Abstract: Quite often when considering long-time behaviour of geometric flows, or considering blow-ups of singularities in geometric PDE, we extract limits using soft compactness arguments. For example, a flow might easily be seen to converge to a limit at a *sequence* of times converging to infinity. The more subtle question is then whether the flow converges as time converges to infinity, without having to restrict to a sequence of times.

I will outline some of the issues that arise in this subject, focussing on gradient flows for the harmonic map energy, and sketch some recent work with M.Rupflin and J.Kohout.

Mathematics

Audience: researchers in the topic

Online Seminar "Geometric Analysis"

Series comments: We discuss recent trends related to geometric analysis in a broad sense. The general idea is to solve geometric problems by means of advanced tools in analysis. We will include a wide range of topics such as geometric flows, curvature functionals, discrete differential geometry, and numerical simulation.

Registration and links to videos available at blatt.sbg.ac.at/onlineseminar.php