报告名称：Approach Harmonic mappings via conservation law h

报告专家：向长林

专家所在单位：三峡大学

报告时间：2022-4-19 14：00-18：00

报告地点:腾讯会议939-445-288

专家简介：向长林，2015年博士毕业于芬兰于韦斯屈莱大学，工作于三峡大学三峡数学研究中心。目前主要研究领域为偏微分方程(组)正则性理论及其几何应用。

报告摘要：This talkis a brief summary of the method of conservation law and its applications to geometric PDEs. In particular, I will discuss the great discovery of conservation law by Riviere (2007) for two dimensional conformally invariant variational problems, which allows him to answer two longstanding conjectures, and which also largely extend the famous conservation law of Shatah for harmonic mappings. Related generalizations and open problems to Riviere’s conservation law will also be presented in the end of the talk.