报告名称：Mean curvature flow of surfaces in a hyperkaehler 4-manifold

主办单位：数学与统计学学院

报告专家：邱红兵(副教授)

专家所在单位：武汉大学数学与统计学学院

报告时间：2019年6月10日10：00-11：00

报告地点：数学与统计学学院201报告厅

专家简介：邱红兵,武汉大学青年老师，博士毕业于复旦大学。主持国家自然科学基金面上一项，青年一项。在Advance in Math.，PAMS等著名杂志发表论文10余篇。

报告摘要：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.