Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	Letian Chen,Johns Hopkins University
Inviter:	孙黎明
Title:	Mean curvature flow coming out of cones
Language:	English
Time & Venue:	2023.04.06 09:00-10:00 Zoom: 618 6346 6832 Passcode: 682386
Abstract:	We study mean curvature flows (MCFs) coming out of cones. As cones are singular at the origin, the evolution is generally not unique. A special case of such flows is known as the self-expanders. We will construct many non-self-similar MCFs coming out of a given cone provided there are more than one (smooth) self-expanders asymptotic to the cone. We then discuss a classification problem of such flows. In particular, we show that, in low dimensions, and when the cones are not too complex, the above solutions are all one gets.