Seminars & Colloquia Calendar
Mean curvature flows coming out of cones
Letian Chen - Johns Hopkins University
Location: Hill Center Room 705
Date & time: Tuesday, 31 January 2023 at 2:50PM - 3:50PM
Abstract: We study mean curvature flows (MCFs) coming out of cones. As the cones are singular at the origin, the evolution is generally not unique. A special case of such flows is known as the 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 will also 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.