Fri, April 10, 2026
1:45 pm - 2:45 pm
Math Tower (MW) 100A
Bin Guo
Rutgers University - Newark
Title
Geometric estimates on Kahler spaces
Abstract
We will discuss the role of complex Monge-Ampère equations as auxiliary equations in deriving sharp analytic and geometric estimates in Kähler geometry. By studying Green’s functions, we will explore how to derive estimates for diameters and establish uniform Sobolev inequalities on Kähler manifolds, which depend only on the entropy of the volume form and are independent of the lower bound of the Ricci curvature.