Speaker: Dr. liuqing YANG (BICMR)

Time: 13:45--14:45, 2 December

Abstract: 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.

Place: Room 09 at Quan Zhai, Beijing International Center for Mathematical Research