Non uniqueness of solutions in Mean Curvature Flow

Abstract: For smooth initial hypersurfaces one has short time existence and uniqueness of solutions to Mean Curvature Flow. For general initial data Brakke showed that varifold solutions exist, but that they need not be unique if the initial data are non smooth. In this talk I will discuss examples of the multitude of solutions to MCF that exist if the initial hypersurface has exactly one singular point.