Colloquium| Institute of Mathematical Sciences
Time：14:00-15:00, October 31 Thursday
Location：Room S408, IMS
Speaker: Haozhao Li, University of Science and Technology of China
Abstract: In this talk, we show that if the mean curvature of a closed smooth embedded mean curvature flow in R^3 is of type-I, then the rescaled flow at the first finite singular time converges smoothly to a self-shrinker flow with multiplicity one. This result confirms Ilmanen's multiplicity-one conjecture under the assumption that the mean curvature is of type-I. As a corollary, we show that the mean curvature at the first singular time of a closed smooth embedded mean curvature flow in R^3 is at least of type-I. This is joint work with Bing Wang.