Introduction to canonical metrics and stability notions in Kahler geometry14

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06 25, 2022

Speaker: Kewei Zhang 
Title: Introduction to canonical metrics and stability notions in Kahler geometry14 
Time & Venue: 2022, June 25th(Saturday) 14:00-15:30 Tencent: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.

Contacts: Kewei Zhang

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