报告名称：On the four vertex theorem for curves on locally convex surfaces

主办单位：永利集团88304官网

报告专家：陈世炳

专家所在单位：中国科学技术大学

报告时间：6月21日9:00-11：00

报告地点：腾讯会议 （524 906 428）

专家简介：陈世炳，中科大特任教授，2013年博士毕业于加拿大多伦多大学数学系。多年来一直从事Monge-Ampere及其在最优传输与几何中的应用研究。与合作者在Monge-Ampere的正则性理论中取得若干成果。

报告摘要：The classical four vertex theorem describes a fundamental property of simple closed planar curves. It has been extended to space curves, namely a smooth, simple closed curve in $\mathbb{R}^3$ has at least four points with vanishing torsion if it lies on a convex surface. More recently, Ghomi extended this property to curves lying on locally convex surfaces. In this talk we will discuss an interesting approach using the regularity theory of Monge-Ampere equations. This is based on a joint work with Xu-Jia Wang and Bin Zhou.

邀请人：向妮