报告题目 (Title)：Compactness and singularity related to harmonic maps

中文标题: 调和映射的紧性与奇异性

报告人 (Speaker)：李嘉禹 教授（中国科学技术大学）

报告时间 (Time)：2023年6月2日(周五) 9:30-10:30

报告地点 (Place)：校本部F309

邀请人(Inviter)：席东盟、李晋、张德凯

主办部门：理学院数学系

报告摘要：In the talk we will review compactness results and regularity theorems related to harmonic maps. We will review Sacks-Uhlenbeck blow-up metods, Hélein regularity theorem, Evens and Bethuel partial regularity, Lin theorem, Rivière estimates, and our results in this field. Especially, we will talk approximated harmonic maps from surfaces with tension field bounded in Zygmund class, the blow up formula for stationary harmonic maps, and it’s applications to triholomorphic maps between Hyperkähler manifolds.