Geometry Seminar: Artemis Vogiatzi (Queen Mary U London)
NB: Held online via Zoom. (Niels Martin Møller's channel - please email him for the URL.)
Speaker: Artemis Vogiatzi (Queen Mary U London)
Title: Singularities for High Codimension Mean Curvature Flow in Riemannian Manifolds
Abstract: Under the assumption of a quadratic curvature pinching condition, in regions where the curvature is sufficiently large, the submanifold evolving by mean curvature flow becomes approximately codimension one in a quantifiable way. This fundamental codimension estimate, along with a cylindrical type estimate, prove that at a singularity, there exists a rescaling that converges to a smooth codimension-one limiting flow in Euclidean space, which is weakly convex and either moves by translation or is a self-shrinker.