Symplectic mean curvature flow in $CP^2$
主 题: Symplectic mean curvature flow in $CP^2$
报告人: Dr. liuqing YANG (BICMR)
时 间: 2014-12-02 13:45-14:45
地 点: Room 09 at Quan Zhai, Beijing International Center for Mathematical Research（博士后讨论班）
The mean curvature flow is the negative gradient flow of the area functional. If the mean curvature flow exists globally and converges at infinity, then the limit must be a minimal submanifold. In this talk, I will first introduce some background on the mean curvature flow. Then I will talk about my work on the symplectic mean curvature flow in $CP^2$, joint with Prof. Xiaoli Han and Prof. Jiayu Li. In this work we prove that the flow exists for long time and converges to a holomorphic curve if the initial surface satisfies some pinching condition.
