Seminars & Colloquia Calendar
Generic singularity of mean curvature flow: formations and detailed descriptions before and at the blowup time
Gang Zhou (Binghamton University)
Location: Hill 705
Date & time: Tuesday, 23 October 2018 at 3:00PM - 4:00PM
Abstract: In this talk I will present the progresses I and my collaborators, including Michael Sigal and Dan Knopf, made in the past few years. We developed a new way of studying mean curvature flow, and we are using it to understand the evolution of hypersurfaces under mean curvature flow. Our latest results show that, in a considered generic regime, the singularity is isolated, and a space and time neighborhood is mean convex. The latter confirms a conjecture by Ilmanen about mean convexity of neighborhood of singularity.