Mean Curvature Flow and Sphere Theorem

Friday, October 9, 2015 - 15:30
704 Thackeray Hall
Speaker Information
Hongwei Xu
Harvard University

Abstract or Additional Information

During the past three decades, a number of important sphere theorems via curvature flow have been proved by several geometers. In this talk, I will focus on submanifolds and discuss convergence theorems for mean curvature flow of submanifolds of arbitrary codimension. Consequently, we obtain the optimal
differentiable sphere theorem for submanifolds.