BIMSA > Complex Geometry Seminar Complex Geometry Seminar Complex Monge-Ampere equation and Kahler-Ricci flow
Complex Monge-Ampere equation and Kahler-Ricci flow
Organizers
Nikita Klemyatin , Genglong Lin , Enric Sole Farre , Yingying Zhang
Speaker
Lei Zhang
Time
Monday, June 22, 2026 2:00 PM - 3:50 PM
Venue
A3-1-301
Online
Zoom 928 682 9093 (BIMSA)
Abstract
 The study of the complex Monge Ampere equation on compact Kahler manifolds has a long history and many spectacular results have appeared over the years. A particularly strong impetus was provided by related problems from the minimal model program in algebraic geometry and from the problem of finding metrics of constant scalar curvature in a given Kahler class. In this talk, we will report the regularity of solutions to the CMA on a compact Kahler manifold when the measure belongs to certain Orlicz space. By combining our analytical results, we proceed to establish the geometric estimates associated to Kahler metrics/currents. Finally, we will discuss its related geometric applications to Kahler-Ricci flow. This talk based on a joint work with Professor Zhenlei Zhang from Capital Normal University