RCTS Differential Geometry Seminar



SPEAKERMr. Man Shun (John) Ma]University of British Columbia^

TITLESingularities in Lagrangian Mean Curvature Flow

ABSTRACT Lagrangian Mean Curvature Flow (LMCF) is a geometric flow, aiming to deform a Lagrangian immersion to a special Lagrangian submanifold. To understand the flow, it is important to understand the formation of singularity in LMCF. In this talk, I will introduce the concept of a self-shrinker (a local model for singularity), how it is formed in LMCF, and give some examples of Lagrangian self-shrinkers. Then I will discuss a recent work with Jingyi Chen concerning the space of all compact Lagrangian self-shrinkers in $\mathbb C^2$. Some applications will be discussed.