BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Melanie Rupflin (Oxford University) DTSTART:20210615T133000Z DTEND:20210615T143000Z DTSTAMP:20260423T052335Z UID:Geometry/28 DESCRIPTION:Title: Lojasiewicz inequalities near simple bubble trees\nby Melanie Rupfli n (Oxford University) as part of Pangolin seminar\n\n\nAbstract\nIn the st udy of (almost-)critical points of an energy functional one is often confr onted with the problem that a weakly-obtained limiting object does not hav e the same topology. For example sequences of almost-harmonic maps from a surface will in general not converge to a single harmonic map but rather t o a whole bubble tree of harmonic maps\, which cannot be viewed as an obje ct defined on the original domain.\n\nOne of the consequences of this phen omenon is that one of the most powerful tools in the study of (almost-)cri tical points and gradient flows of analytic functionals\, so called Lojasi ewicz-Simon inequalities\, no longer apply.\n\nIn this talk we discuss a m ethod that allows us to prove such Lojasiewicz inequalities for the harmon ic map energy near simple trees and explain how these inequalities allow u s to prove convergence of solutions of the corresponding gradient flow des pite them forming a singularity at infinity.\n LOCATION:https://researchseminars.org/talk/Geometry/28/ END:VEVENT END:VCALENDAR