Peter Topping - Uniqueness of limits in geometric flows

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.