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SUMMARY:Melanie Rupflin (University of Oxford)
DTSTART:20200804T170000Z
DTEND:20200804T180000Z
DTSTAMP:20260423T035029Z
UID:OSGA/22
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OSGA/22/">Ł
 ojasiewicz inequalities near simple bubble trees for the $H$ surface equat
 ion</a>\nby Melanie Rupflin (University of Oxford) as part of Online Semin
 ar "Geometric Analysis"\n\n\nAbstract\nIn this talk we discuss a gap pheno
 menon for critical points of\nthe $H$-functional on closed non-spherical s
 urfaces when $H$ is constant\, and in\nthis setting furthermore prove that
  sequences of almost critical points\nsatisfy Łojasiewicz inequalities as
  they approach the first non-trivial\nbubble tree.\n\nTo prove these resul
 ts we derive sufficient conditions for Łojasiewicz\ninequalities to hold 
 near a finite-dimensional submanifold of\nalmost-critical points for suita
 ble functionals on a Hilbert space.\n\nThe presented results are joint wor
 k with Andrea Malchiodi and Ben Sharp.\n
LOCATION:https://researchseminars.org/talk/OSGA/22/
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