RCTS Differential Geometry Seminar | |
DATE | 2015-07-30¡@14:10-15:00 |
PLACE | ¼Æ¾ÇÀ]3175±Ð«Ç |
SPEAKER | Mr. Man Shun (John) Ma¡]University of British Columbia¡^ |
TITLE | Singularities 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. |