Mean curvature flow with multiplicity 2 convergence.
Mean curvature flow with multiplicity 2 convergence.
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Jingwen Chen, University of Pennsylvania
*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 R3 and Sn×[−1,1], which converge to a plane and a sphere Sn 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.