Speaker: LU Siyuan (陆思远），McMaster University（Canada）

Place: Room 310, Mathematical Building

Time: 4:00 -5:00 pm, 11th, Sep. 2025

Titile: A priori C^2 estimate for nonlinear equations II: Hessian quotient equation

Abstract: In this talk, we will first review the history of interior C^2 estimate for fully nonlinear equaions. As a matter of fact, very few equations admit this property, not even the Monge-Ampere equation with dimension three or above. We will then present our recent work on interior C^2 estimate for Hessian quotient equation. We will discuss the main idea behind the proof. If time permitted, we will also discuss the Pogorelov type interior C^2 estimate for Hessian quotient equation and its applications.