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SUMMARY:Thomas Körber (University of Vienna)
DTSTART:20220707T133000Z
DTEND:20220707T143000Z
DTSTAMP:20260423T023042Z
UID:jomarec/18
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/jomarec/18/"
 >Uniqueness of large area-constrained Willmore spheres in initial data set
 s</a>\nby Thomas Körber (University of Vienna) as part of JoMaReC - Joint
  Online Mathematical Relativity Colloquium\n\n\nAbstract\nThe Hawking mass
  of an area-constrained Willmore sphere is a useful quasi-local measure fo
 r the strength of the gravitational field of an initial data set for the E
 instein field equations. If the scalar curvature satisfies certain asympto
 tic assumptions\, the asymptotic region of such an initial data set is fol
 iated by large area-constrained Willmore spheres with non-negative Hawking
  mass. It has been conjectured that these are the only such spheres. In th
 is talk\, I will present a proof of this conjecture for all large area-con
 strained Willmore spheres with non-negative Hawking mass and outer radius 
 less than the logarithm of the inner radius. This is joint work with Micha
 el Eichmair\, Jan Metzger\, and Felix Schulze.\n
LOCATION:https://researchseminars.org/talk/jomarec/18/
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