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Harmonic maps into singular spaces

组织者

深谷賢治 , 杨琳 , 塞巴斯蒂安·赫勒 , 河井公大朗

演讲者

张蓥莹

时间

2025年03月18日 14:45 至 16:30

地点

A3-4-301

线上

Zoom 815 762 8413 (BIMSA)

摘要

The study of harmonic map into singular spaces (Riemannian simplical complex) was initiated by Gromov-Schoen, as an application, they obtained superrigidity result of p-adic representation of lattice of isometry group of Quaternionic hyperbolic space and Cayley plane. Later, the analysis of harmonic maps into general non-positively curved (NPC) metric spaces was substantially established by Korevaar-Schoen in a series of papers. In this talk, we consider the energy minimizing maps from a Lipschitz Riemannian domain into a CAT(1)-space, we shall discuss the regularity problem of such maps. As applications, we first generalize the Sacks-Uhlenbeck’s result into a singular setting, secondly, we will talk about a Liouville type theorem. This is based on a series work with Christine Breiner, Aliana Fraser, Lan-Hsuan Huang, Chikako Mese, Pam Sargent, and Brian Freidin.