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报告人: 刘克峰 （美国加州大学洛杉矶分校）

日  期: 2019年7月3日

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。

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