Differential Geometry Seminar: Estimates of constant scalar curvature Kahler metrics with applications to existence

Seminar | March 19 | 2:10-3 p.m. | 939 Evans Hall

 Jingrui Cheng, University of Wisconsin–Madison

 Department of Mathematics

We develop new apriori estimates for scalar curvature type equations on a compact Kahler manifold. As applications, we show that properness of K-energy with respect to the \(L^1\) geodesic distance implies the existence of constant scalar curvature Kahler metrics. This is joint work with Xiuxiong Chen.