Geometry and Topology Seminar

Friday, March 20, 2026 3:30 pm - 4:30 pm EDT (GMT -04:00)
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Siyuan Lu, McMaster University

Interior C^2 estimate for Hessian quotient equation

In this talk, we will first review the history of interior C^2 estimates for fully nonlinear equations. As a matter offact, very few equations admit this property, not even the Monge-Ampère equation in dimension three or above.We will then present our recent work on interior C^2 estimate for Hessian quotient equation. We will discuss themain idea behind the proof. If time permits, we will also discuss the Pogorelov-type interior C^2 estimate forHessian quotient equation and its applications.

MC 5417