Westlake Online Math Forum第十三期 | Bin Guo: Complex Monge-Ampere equations in Kahler geometry

2023-08-31 14:59:23


ZOOM ID:988 7364 6208

PASSCODE: 960591

主持人:理论科学研究院 傅鑫

主讲人: Rutgers University - Newark Bin Guo

主讲人介绍: 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:Complex Monge-Ampere equations in Kahler geometry


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.