Mean curvature flow with multiplicity $2$ convergence.

Jingwen Chen, University of Pennsylvania
Fine Hall 601

*note date,time and location*

Mean curvature flow (MCF) has been widely studied in recent decades, and higher multiplicity convergence is an important topic in the study of MCF. In this talk, we present two examples of immortal MCF in $\mathbb{R}^3$ and $S^n \times [-1,1]$, which converge to a plane and a sphere $S^n$ with multiplicity $2$, respectively. Additionally, we will compare our example with some recent developments on the multiplicity one conjecture and the min-max theory. This is based on joint work with Ao Sun.