报告题目:Convexity and Plurisubharmonicity of energy functional on Teichmuller space.

报告人：张根凯教授

报告时间：上午：10:00-11:00

报告地点：理A 110

Title：Convexity and Plurisubharmonicity of energy functional on Teichmuller space.

Abstract: We consider the energy functional $E(u)$ of harmonic maps $u: (M, g)to S$ from a Riemannian manifold $M$ to a Riemann surface $S$ of genus $g$ as well as harmonic maps $u: Sto M$. The energy $E(u)$ can be defined as a function on the Teichmuller space $mathcal T$ of $S$ as the hyperbolic metric of $S$varies. We prove Weil-Petterson geodesic convexity and plurisubharmonicity of $E$ on $mathcal T$. (Joint work with I. Kim and Xueyuan Wan.)

Genkai Zhang (Chalmers Univ. of Tech. and Gothenburg Univ., Sweden):  

时间：6.14（周五）上午：10:00-11:00

地点：理A 110

张根凯，瑞典查尔莫斯科技学院与哥德堡大学数学系教授，德国Max-Planck institute of Mathematics访问教授，法国高等科学研究所访问教授，周向宇院士负责的中国科学院数学研究所分析团队客座教授，曾获瑞典数学会2001年Wallenberg奖。在Shimura 算子的特征值，degenerate principal series 表示，Harish-Chandra 球面函数的展开等研究领域做出了许多重要的工作。工作发表在J. Differential Geometry, Duke Math. J.， Adv. Math.,J. Functional Analysis, Math. Ann. 等国际一流数学刊物.