BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Richard Bamler (University of California\, Berkeley) DTSTART:20240327T223000Z DTEND:20240328T003000Z DTSTAMP:20260423T005829Z UID:NCTS-GMT/22 DESCRIPTION:Title: On the Multiplicity One Conjecture for Mean Curvature Flows of Surfaces< /a>\nby Richard Bamler (University of California\, Berkeley) as part of NC TS international Geometric Measure Theory seminar\n\n\nAbstract\nWe prove the Multiplicity One Conjecture for mean curvature flows of surfaces in $\ \mathbb R^3$. Specifically\, we show that any blow-up limit of such mean c urvature flows has multiplicity one. This has several applications. First\ , combining our work with results of Brendle and Choi-Haslhofer-Hershkovit s-White\, we show that any level set flow starting from an embedded surfac e diffeomorphic to a 2-spheres does not fatten. In fact\, we obtain that t he problem of evolving embedded 2-spheres via the mean curvature flow equa tion is well-posed within a natural class of singular solutions. Second\, we use our result to remove an additional condition in recent work of Chod osh-Choi-Mantoulidis-Schulze. This shows that mean curvature flows startin g from any generic embedded surface only incur cylindrical or spherical si ngularities. Third\, our approach offers a new regularity theory for solut ions of mean curvature flows that flow through singularities.\n\nThis talk is based on joint work with Bruce Kleiner.\n LOCATION:https://researchseminars.org/talk/NCTS-GMT/22/ END:VEVENT END:VCALENDAR