EVENT DETAILS AND ABSTRACT

Title: Regularity scale and convergence of the Calabi flow
Speaker: Bing Wang
Speaker Info: University of Wisconsin, Madison
Brief Description:
Special Note:
Abstract:

We define regularity scales as alternative quantities of  (max M |Rm|) ^{−1} to study the behavior of the Calabi flow. Based on estimates of the regularity scales, we obtain convergence theorems of the Calabi flow on extremal K¨ahler surfaces, under the assumption of global existence of the Calabi flow solutions. Our results partially confirm Donaldson’s conjectural picture for the Calabi flow in complex dimension 2. Similar results hold in high dimension with an extra assumption that the scalar curvature is uniformly bounded.