A global method on solving equations on complex manifolds

发布日期:2019-07-02点击数:

报告人: 刘克峰 (美国加州大学洛杉矶分校)


日  期: 2019年73


时  间: 15:00


地  点: 理科楼 LD302


摘  要: Motivated by the local integral operators introduced by Ahlfors and others in solving the Beltrami equations on discs, we introduce corresponding global operators on manifolds to study variations of complex structures over Kahler manifolds. Furthermore, by using these operators from Hodge theory on a complete Kahler manifold, we construct closed  formulas for holomorphic canonical forms under global variations of complex structures and on their moduli spaces, we also present several applications including a simple method solving the general Belrtami equations, and a revisit of the Kuranishi obstruction equations in deformation of complex structures.


报告人简介刘克峰 美国加州大学洛杉矶分校教授。


欢迎广大师生积极参与!


关于我们
600cc全讯白菜的前身是始建于1929年的600全讯白菜网址理学院和1937年建立的600全讯白菜网址商学院,理学院是600全讯白菜网址最早设立的三个学院之一,首任院长为数学家何鲁先生。