Abstract: In 1994, Velázquez constructed a family of mean curvature flows converging to Simons' cones (which have $O(n)\ast O(n)$ symmetry) after a type I rescaling and its Hardt-Simon foliation after a type II rescaling. Later on, Guo-Sesum simplied Velázquez's proof, and Liu generalized Velázquez's construction to quadratic cones (which have $O(p)\ast O(q)$ symmetry).  In this talk, I will discuss how to construct such a mean curvature flow for a general strictly stable minimizing cone without symmetry assumptions.

 

Link Information:  Zoom Meeting https://us02web.zoom.us/j/81467183146?pwd=JJxcmI06WkLu84shK5r7pQVpH9aoEY.1

Meeting ID: 814 6718 3146

Passcode: 890138

 

Organizers: Nicolau Sarquis Aiex (NTNU), Siao-Hao Guo  (NTU), Chao-Ming Lin  (NTU), Wei-Bo Su (NCU) & Chung-Jun Tsai (NTU)