Geometry/Topology Seminar
Tuesday November 30th, 2021
Time: 4:30 PM
Title: A sharp inscribed radius estimate for fully nonlinear flows
Speaker: Pei-Ken Hung, University of Minnesota
Location: Online
Abstract:
For a closed hypersurface which encloses a region, the radii of inscribed balls measure the non-collapsing of the hypersurface. After scaled with respect to the curvature of the touching point, the inscribed radius becomes dilation-invariant and is very useful in analyzing singularities arising in curvature flows. In this talk, we will discuss a sharp estimate for the inscribed radius under certain fully nonlinear flows. The estimate is asymptotically sharp as it is modeled on cylinders. This is a joint work with Simon Brendle.