Abstract: 

Uniform estimates for complex Monge-Ampere 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 (MA) 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 the joint works with D.H. Phong, F. Tong and C. Wang.

Speaker：

Bin Guo

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.

Zoom:

https://us02web.zoom.us/j/81422811215?pwd=anpRMXl0RjR4bU5jNE5BVW5xY0Jqdz09

Passwords: 464145