Lu Wang

University of Wisconsinâ€“Madison; Member, School of Mathematics

January 22, 2019

Mean curvature flow is the negative gradient flow of the

volume functional which decreases the volume of (hyper)surfaces in the

steepest way. Starting from any closed surface, the flow exists

uniquely for a short period of time, but always develops singularities

in finite time. In this talk, we discuss some non-uniqueness problems

of the mean curvature flow passing through singularities. The talk is

mainly prepared for non-specialists of geometric flows.