Interior curvature estimate for scalar curvature equation

Date: 
Friday, 13 April, 2018 - 11:00 - 12:00
Venue: 
LSB 222
Seminar Type: 
Seminar
Speaker Name: 
Dr. Guohuan QIU
Affiliation: 
McGill University
Abstract: 

The interior regularity for scalar curvature equation is a longstanding problem in fully nonlinear PDE theory. Joint with Professor Guan, we partially solved this problem under some convexity condition in any dimensions. In Euclidean three-space, I proved the purely interior curvature estimate for scalar curvature equation. I will talk about my new observation to the scalar curvature equation in dimension three.