几何分析研讨班：Diameter and Ricci curvature estimates for the collapsing long-time solution of the Kahler-Ricci flow

中科院数学与系统科学研究院

数学研究所

几何分析研讨班

报告人：  简旺键 博士   (华罗庚数学中心)

题  目：Diameter and Ricci curvature estimates for the collapsing long-time solution of the Kahler-Ricci flow

时  间：2021.03.25（星期四）, 10:30-11:30

地  点：数学院南楼N902

摘  要：We will first briefly recall the background of the Kahler-Ricci flow. Then we will introduce the set-up of collapsing long-time solution of the Kahler-Ricci flow, and recall some previous results. Next, we show how to reprove Tian-Zhang's relative volume comparison estimate by using recent progress by Bamler. Then we will show that this approach is also useful in long-time solution of the Kahler-Ricci flow without Ricci curvature bound assumption. Finally, if time permits, we will show how to apply iteration process to obtain the local Ricci bound if the Kodaira dim of the manifold is one.