Uniform estimates for complex Monge-Ampere and fully nonlinear equations

：郭斌（Rutgers University, Newark）
：2022-04-29 09:00
：腾讯会议ID：941434184（密码：202204）

报告人：郭斌（Rutgers University, Newark）

时  间：4月29日上午09:00

地  点：腾讯会议ID：941434184（密码：202204）

内容摘要:

Uniform estimates for complex Monge-Ampere (MA) equations have been extensively studied, ever since Yau’s resolution of the Calabi conjecture. Subsequent developments have led to many geometric applications to many other fields, but all relied on the pluripotential theory from complex analysis. In this talk, we will discuss a new PDE-based method of obtaining sharp uniform C^0 estimates for complex Monge-Ampere and other fully nonlinear PDEs, without the pluripotential theory. This new method extends more generally to other interesting geometric estimates for MA and Hessian equations. This is based on joint works with D.H. Phong and F. Tong.

个人简介：

郭斌是Rugers大学Newark分校tenure track助理教授。2015年Rutgers大学New Brunswick博士毕业。后在Columbia大学任Ritt Assistant Professor。研究领域是几何分析和复几何。研究工作发表于Math. Ann. ，Analysis & PDE，IMRN， Adv. Math.，J. Reine Angew. Math.，Comm. Math. Phys.，Indiana Univ. Math. J.等重要数学杂志。

联系人：杨波