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SUMMARY:Robert Haslhofer (University of Toronto)
DTSTART:20210803T170000Z
DTEND:20210803T180000Z
DTSTAMP:20260423T035029Z
UID:OSGA/69
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OSGA/69/">Me
 an curvature flow through neck-singularities</a>\nby Robert Haslhofer (Uni
 versity of Toronto) as part of Online Seminar "Geometric Analysis"\n\n\nAb
 stract\nIn this talk\, I will explain our recent work showing that mean cu
 rvature flow through neck-singularities is unique. The key is a classifica
 tion result for ancient asymptotically cylindrical flows that describes al
 l possible blowup limits near a neck-singularity. In particular\, this con
 firms Ilmanen’s mean-convex neighborhood conjecture\, and more precisely
  gives a canonical neighborhood theorem for neck-singularities. Furthermor
 e\, assuming the multiplicity-one conjecture\, we conclude that for embedd
 ed two-spheres mean curvature flow through singularities is well-posed. Th
 e two-dimensional case is joint work with Choi and Hershkovits\, and the h
 igher-dimensional case is joint with Choi\, Hershkovits and White.\n
LOCATION:https://researchseminars.org/talk/OSGA/69/
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