Singularity Type for Kahler-Ricci Flow over Minimal Manifolds

Abstract:

In this talk, we start by describing the history of the study on this Kahler-Ricci flow, usually considered as the easy-sign version. The degenerate setting has been the main interest for the past 2 decades, following Tian’s Program which was later elaborated as Analytic Minimal Model Program in Song-Tian’s works. A board spectrum of techniques have been involved in the progress. We focus on the recent result by Wondo-Z regarding the types of infinite time singularities which is for the case of minimal manifolds), extending earlier works by Yashan Zhang and confirming a conjecture by Tosatti.