题目：Mean Curvature Flow of Surfaces in a Hyperkaehler 4-Manifold

报告人：邱红兵 副教授（武汉大学)

地点：致远楼 101 室

时间：2019 年 05 月31 日 9:30-10:30

摘要🧘🏼：In this talk, we firstly prove that every hyper-Lagrangian submanifold L^{2n}(n > 1) in a hyperkaehler 4n-manifold is a complex Lagrangian submanifold. Secondly, we study the geometry of hyper-Lagrangian surfaces and demonstrate an optimal rigidity theorem with the condition on the complex phase map of self-shrinking surfaces in R^4 . Last but not least, we show that the mean curvature flow from a closed surface with the image of the complex phase map contained in S^2/(S^1_{+}) in a hyperkaehler 4-manifold does not develop any Type I singularity. This is a joint work with Dr. Linlin Sun.

欢迎参加!