BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Rober Haslhofer (Toronto) DTSTART:20210504T124500Z DTEND:20210504T134500Z DTSTAMP:20260423T024449Z UID:BOWL/21 DESCRIPTION:Title: Me an curvature flow through neck-singularities\nby Rober Haslhofer (Toro nto) as part of B.O.W.L Geometry Seminar\n\n\nAbstract\nIn this talk\, I w ill explain our recent work showing that mean curvature flow through neck- singularities is unique. The key is a classification result for ancient as ymptotically cylindrical flows that describes all possible blowup limits n ear a neck-singularity. In particular\, this confirms Ilmanen’s mean-con vex neighborhood conjecture\, and more precisely gives a canonical neighbo rhood theorem for neck-singularities. Furthermore\, assuming the multiplic ity-one conjecture\, we conclude that for embedded two-spheres mean curvat ure flow through singularities is well-posed. The two-dimensional case is joint work with Choi and Hershkovits\, and the higher-dimensional case is joint with Choi\, Hershkovits and White.\n LOCATION:https://researchseminars.org/talk/BOWL/21/ END:VEVENT END:VCALENDAR