Events

Date: 14 October 2025   Time: 14:00 - 15:30

Location: MB503

Title: Revisiting generic mean curvature flow in R^3

Abstract: Bamler-Kleiner recently proved a multiplicity-one theorem for mean curvature flow in R^3 and combined it with our previous work on generic mean curvature flows (together with Chodosh, Choi and Mantoulidis) to fully resolve Huisken's genericity conjecture. In this talk we present an argument that shows that a short density-drop theorem plus the Bamler-Kleiner multiplicity-one theorem for tangent flows at the first nongeneric singular time suffice to resolve Huisken's conjecture - without relying on the strict genus drop theorem for one-sided ancient flows established in our previous work. This is joint work with O. Chodosh, K. Choi and C. Mantoulidis.