报告题目：Geometric estimates in Kahler geometry

报告人：Professor Bin Guo (Rutgers University - Newark)

时间：2024年7月15日(周一）上午11:00-12:00            地点：理科楼A304

摘要: We will discuss the role of complex Monge-Ampere equations as auxiliary equations in deriving sharp analytic and geometric estimates in Kahler geometry. By studying Green's functions, we will explore how to derive estimates for diameters and establish uniform Sobolev inequalities on Kähler manifolds, which depend only on entropy of the volume form and are independent of the lower bound of the Ricci curvature.

报告人简介: 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 a tenure-track assistant professor at Rutgers University - Newark. He have published more than 20 papers in top Journals such as Ann. of Math., CPAM, Crelle’s Journal, Adv. Math., Math. Ann.ect..

邀请人：李海中，马辉，陈大广