A Monge-Ampere type functional and related prescribing curvature problems

 

讲座专家:李奇睿(浙江大学数学科学学院)

 

讲座时间:2022年11月16日下午2:30--3:30

 

讲座形式:线上报告,腾讯会议ID:308-545-992,会议密码:1116

 

讲座内容:

 

摘要: In this talk, we discuss the Minkowski problem in the sphere and the problem of prescribing the centro-affine curvature in the Euclidean space. The two problems are equivalent to solving the Euler-Lagrangian equations of a Monge-Ampere type functional in the sphere or Euclidean space. The solutions are obtained by using a Gauss curvature type flow together with min-max principle or some topological argument. The talk is based on recent joint work with Qiang Guang and Xu-Jia Wang.

 

专家简介:李奇睿,浙江大学数学科学学院研究员,博士生导师。研究方向是完全非线性方程与几何分析。近年来与合作者在Monge最优运输问题,预定曲率问题,几何流等方向取得若干成果。

 

邀请人:熊昌伟(四川大学数学学院)

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