Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars
| | Speaker: | Prof. Genkai Zhang, Chalmers Univ. of Tech. and Gothenburg Univ., Sweden
| | Inviter: | | Title:
| Convexity and Plurisubharmonicity of energy functional on Teichmuller space | Time & Venue:
| 2019.7.2 16:00-17:00 N204 | Abstract:
| 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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