研讨班报告

多复变与复几何学术活动:Convexity and Plurisubharmonicity of energy functional on Teichmuller space

发布时间:2019-07-02

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.


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