BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Renato Vianna (Universidade Federal do Rio de Janeiro) DTSTART:20210629T133000Z DTEND:20210629T143000Z DTSTAMP:20260423T021037Z UID:Geometry/29 DESCRIPTION:Title: Sharp Ellipsoid Embeddings and Toric Mutations\nby Renato Vianna (Un iversidade Federal do Rio de Janeiro) as part of Pangolin seminar\n\n\nAbs tract\nIn the study of (almost-)critical points of an energy functional on e is often confronted with the problem that a weakly-obtained limiting obj ect does not have the same topology. For example sequences of almost-harmo nic maps from a surface will in general not converge to a single harmonic map but rather to a whole bubble tree of harmonic maps\, which cannot be v iewed as an object defined on the original domain.\n\nOne of the consequen ces of this phenomenon is that one of the most powerful tools in the study of (almost-)critical points and gradient flows of analytic functionals\, so called Lojasiewicz-Simon inequalities\, no longer apply.\n\nIn this tal k we discuss a method that allows us to prove such Lojasiewicz inequalitie s for the harmonic map energy near simple trees and explain how these ineq ualities allow us to prove convergence of solutions of the corresponding g radient flow despite them forming a singularity at infinity.\n LOCATION:https://researchseminars.org/talk/Geometry/29/ END:VEVENT END:VCALENDAR