Title: Singularities of generic mean curvature flows

Abstract: Surfaces evolving by mean curvature flow in R3 can develop rather complicated singularities. However, it was conjectured by Huisken that generically only very simple singularities can form. This conjecture was recently resolved by works of Chodosh-Choi-Mantoulidis-Schulze and Bamler-Kleiner. I will discuss these results, as well as what more we can say.

Professor Szekelyhidi is given a special lecture on some of the introductory...