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Westlake Online Math Forum第十三期 | Bin Guo: Complex Monge-Ampere equations in Kahler geometry
时间
2023年9月8日（周五）
10:00-12:00
地点
ZOOM
主持
理论科学研究院 傅鑫博士
受众
全体师生
分类
学术与研究
Westlake Online Math Forum第十三期 | Bin Guo: Complex Monge-Ampere equations in Kahler geometry
时间：2023年9月8日（周五）10:00-12:00
Time：10:00-12:00, Friday, September 8, 2023
ZOOM ID：988 7364 6208
PASSCODE: 960591
主持人： 理论科学研究院 傅鑫
Host: Xin Fu, Institute for Theoretical Sciences
主讲人: 罗格斯大学 Bin Guo
Speaker：Bin Guo，Rutgers University - Newark
主讲人简介：Bin Guo, received his bachelor's degree from Peking University in 2007, Master's degree from Tsinghua University in 2010, and Ph.D. in mathematics from Rutgers University in 2015. He was Ritt Assistant Professor at Columbia University from 2015 to 2019. He is now an assistant professor at Rutgers University - Newark.
讲座主题/Title：Complex Monge-Ampere equations in Kahler geometry
讲座摘要/Abstract:
We will discuss the role of complex Monge-Ampere equations as auxiliary equations in deriving sharp analytic and geometric estimates in Kahler geometry. Two applications will be given: the first one is the C^0 estimate for a class of fully nonlinear PDE's on complex manifolds; and the second one is the exploration of Green's functions and their geometric applications on Kahler manifolds. This talk is based on joint works with D. H. Phong, J. Song, J. Sturm and F. Tong.
