BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Felix Schulze (University of Warwick) DTSTART:20210317T121500Z DTEND:20210317T131500Z DTSTAMP:20260423T023937Z UID:NCTS-GMT/3 DESCRIPTION:Title: Mean curvature flow with generic initial data\nby Felix Schulze (Univ ersity of Warwick) as part of NCTS international Geometric Measure Theory seminar\n\n\nAbstract\nA well-known conjecture of Huisken states that a ge neric mean curvature flow has only spherical and cylindrical singularities . As a first step in this direction Colding-Minicozzi have shown in fundam ental work that spheres and cylinders are the only linearly stable singula rity models. As a second step toward Huisken's conjecture we show that mea n curvature flow of generic initial closed surfaces in $\\mathbb R^3$ avoi ds asymptotically conical and non-spherical compact singularities. We also show that mean curvature flow of generic closed low-entropy hypersurfaces in $\\mathbb R^4$ is smooth until it disappears in a round point. The mai n technical ingredient is a long-time existence and uniqueness result for ancient mean curvature flows that lie on one side of asymptotically conica l or compact self-similarly shrinking solutions. This is joint work with O tis Chodosh\, Kyeongsu Choi and Christos Mantoulidis.\n LOCATION:https://researchseminars.org/talk/NCTS-GMT/3/ END:VEVENT END:VCALENDAR