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Event Type:

Department Colloquium

Date/Time:

Monday, October 28, 2019 - 16:00 to 16:50

Location:

Kidder Hall 350

Guest Speaker:

Institution:

Beijing International Center for Mathematical Research & Peking University

Abstract:

Mean curvature flow (MCF) is the higher dimensional analogue of curve shortening flow in a plane. There are many results on MCF of convex hypersurfaces in Euclidean spaces and spheres. Comparatively MCF of higher codimensional submanifolds and non-convex hypersurfaces are less understood. In this talk, I will describe the behavior of MCF for a class of submanifolds, called isoparametric submanifolds, which either have high codimension or have complicated topological type. This is based on a joint work with Chuu-Lian Terng.

Host: