Title: Uniqueness of compact tangent flow in MCF under an integrability assumption
Speaker: Sourav Ghosh
Speaker Info: Notre Dame
Brief Description:
Special Note: Zoom link: https://northwestern.zoom.us/j/94445485133
Abstract:
We show, for mean curvature flows of hypersurfaces in R^n, that if one of the tangent flows at a given space-time point consists of a closed smooth self-similar shrinker, then under an integrability assumption it is the unique tangent flow at that point i.e. the limit of the parabolic rescalings does not depend on the chosen sequence of rescalings. The central point is to get a decay estimate for a distance function from the shrinker using a 3-annulus type lemma. This is a special case of a result of Schulze, where no integrability assumption is needed.Date: Tuesday, October 25, 2022