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SUMMARY:Alex Waldron (University of Wisconsin -Madison)
DTSTART:20240702T150000Z
DTEND:20240702T160000Z
DTSTAMP:20260423T022627Z
UID:Geolis/151
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Geolis/151/"
 >Łojasiewicz inequalities for maps of the 2-sphere</a>\nby Alex Waldron (
 University of Wisconsin -Madison) as part of Geometria em Lisboa (IST)\n\n
 \nAbstract\nInfinite-time convergence of geometric flows\, as even for fin
 ite-dimensional gradient flows\, is a notoriously subtle problem. The best
  (or only) bet is to get a ``Łojasiewicz(-Simon) inequality'' stating tha
 t a power of the gradient dominates the distance to the critical energy va
 lue. I'll introduce a Łojasiewicz inequality between the tension field an
 d Dirichlet energy of a map from the 2-sphere to itself\, removing the tec
 hnical restrictions from an estimate of Topping (Annals '04). The inequali
 ty guarantees convergence of weak solutions of harmonic map flow from $S^2
 $ to $S^2$ assuming that the body map is nonconstant.\n
LOCATION:https://researchseminars.org/talk/Geolis/151/
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