报告名称：Energy Identities for Harmonic Maps and their Applications

报告专家：向长林教授

专家所在单位：三峡大学

报告时间：2026年4月18日 8:30-12:30

报告地点:  数统学院201室

专家简介：

向长林，2015年博士毕业于芬兰于韦斯屈莱大学，现为三峡大学三峡数学研究中心特聘教授。目前主要研究兴趣在于应用几何测度论等工具研究几何型偏微分方程组解的正则性理论与奇点集分析及其在微分几何中的应用。在J. Math. Pures Appl., J. London Math. Soc.等国际高水平学术期刊发表论文多篇。

报告摘要：

In this report I mainly introduce the energy identities for harmonic maps in supercritical dimensions and their significant progress, including the pioneering work of Lin Fanghua-Riviere and the recent major breakthroughs of Naber-Valtorta. Meanwhile, I will discuss important open problems in related fields and some research topics that is currently under consideration, and point out the topics that may continue to produce important breakthroughs and discuss possible research methods.