Introduction to canonical metrics and stability notions in Kahler geometry (9)

2022-05-21

Speaker: Kewei Zhang

Title:

Introduction to canonical metrics and stability notions in Kahler geometry (9)

Time & Venue:

2022.05.21 14:00-15:30; 腾讯会议:71630366211

Abstract:

In this series of lectures we will review the basic ideas surrounding the so called Yau-Tian-Donaldson conjecture, whose goal is to search for canonical metrics on Kahler manifolds. On the analytic side we will recall basic pluripotential theory and then introduce notions such as K-energy, Ding energy, Bergman kernels etc.  On the algebraic side, we shall explain notions such as K-stability, Ding stability, filtrations, valuations, Okounkov bodies, stability thresholds etc. A good reference for this lecture series would be the paper "Uniform K-stability, Duistermaat-Heckman measures and singularities of pairs" by Boucksom-Hisamoto-Jonsson.