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Cahen-Gutt moment map, closed Fedosov's star product and structure of the automorphism group
发布时间: 2018-04-19     17:02   【返回上一页】 发布人:Keita Kunikawa


 

北京师范大学数学科学学院

 

微分几何专题报告

 

报告人:Akito Futaki (Tsinghua University) 

 

题目:  Cahen-Gutt moment map, closed Fedosov's star product and structure of the automorphism group

 

时间地点:4月24日 16:00-17:00,后主楼1223

 

摘要:   We show that if a compact Kähler manifold M admits closed Fedosov's star product then the reduced Lie algebra of holomorphic vector fields on M is reductive. This comes in pair with the obstruction previously found by La Fuente-Gravy. More generally we consider the squared norm of Cahen-Gutt moment map as in the same spirit of Calabi functional for the scalar curvature in cscK problem, and prove a Cahen-Gutt version of Calabi's theorem on the structure of the Lie algebra of holomorphic vector fields for extremal Kähler manifolds. The proof uses a Hessian formula for the squared norm of Cahen-Gutt moment map.

 

 

报告人简介Akito Futaki,微分几何领域国际顶尖数学家,现任清华大学丘成桐数学科学中心教授,原东京大学教授,入选第十四批国家千人计划项目。他在其研究领域已取得了许多原创性的国际领先学术成果,包括著名的Donaldson-Futaki不变量理论等重要工作。