中科院数学与系统科学研究院
数学研究所
中科院华罗庚数学重点实验室
多复变与复几何学术活动
Some Topics in Several Complex Variables
报告人:Prof. Genkai Zhang
(Chalmers Univ. of Tech. and Gothenburg Univ., Sweden)
题 目:Convexity and Plurisubharmonicity of energy functional on Teichmuller space
时 间:2019.07.02(星期二), 16:00-17:00
地 点:数学院南楼N204
摘 要: We consider the energy functional E(u) of harmonic maps u: (M, g) → S from a Riemannian manifold M to a Riemann surface S of genus g as well as harmonic maps u: S→M. The energy E(u) can be defined as a function on the Teichmuller space T of S as the hyperbolic metric of S varies. We prove Weil-Petterson geodesic convexity and plurisubharmonicity of E on T. (Joint work with I. Kim and Xueyuan Wan.