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:2019-07-01

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

 Convexity and Plurisubharmonicity of energy functional on Teichmuller space

  2019.07.02(星期, 16:00-17:00

  数学院南楼N204

   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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