学术报告

On the four vertex theorem for space curves

报 告 人:陈世炳 中科大特任教授

报告时间:2020年9月25号下午2 点

报告地点:腾讯会议(会议 ID:619 184 288)

 

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 approaching using the regularity theory of

Monge-Ampere equations. This is based on a joint work with Xu-Jia

Wang and Bin Zhou.

 

报告人简介: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。

 

欢迎广大师生参加!