汇报标题 (Title)：和谐映射的正则性理论及推广
汇报人 (Speaker)：郭常予 教授（山东大学）
汇报功夫 (Time)：2024年9月27日（周五） 14:00
汇报地址 (Place)：线上腾讯会议 （会议号：282 211 281）
约请人(Inviter)：赵发友 教授
主办部门：理学院 数学系
汇报提要：In this talk, I will give an overview of the regularity theory concerning the singular set of harmonic mappings into closed manifolds. In particular, we recall the classical stratification theory for harmonic mappings based on the fundamental work of Schoen-Uhlenbeck [J. Diff. Geom. 1982], L. Simon [CVPDE 1995] and F.H. Lin [Ann. Math. 1999]. Then we introduce the quantitative stratification theory developed by Cheeger-Naber [Invent. Math. 2013], and by Naber-Valtorta [Ann. Math. 2017, arXiv 2024]. Finally, we briefly discuss the natural extension to half/bi-harmonic mappings and almost complex structure. The talk is based on recent joint works with Guichun Jiang, Changyou Wang, Changlin Xiang and Gaofeng Zheng.
