Lectures on Kähler Geometry and K-stability
Student No.:40
Time:Wed & Fri, 13:30-15:05
Instructor:Akito Futaki  [Tsinghua University]
Place:Conference Room 3, Jin Chun Yuan West Bldg.
Starting Date:2019-2-27
Ending Date:2019-5-17

This is an introductory course of Kähler Geometry focusing on the problem of finding a Kähler metric of constant scalar curvature. We start with foundations of connections and curvature, and then review old and new existence results of Kähler-Einstein metrics and known obstructions such as K-stability.

Some familiarity with manifolds and Lie groups.

1. A. Futaki : Kähler-Einstein metrics and integral invariants. Springer Lecture Notes, vol. 1314, 1988.
2. G. Székelyhidi: An introduction to extremal Kähler metrics, AMS, 2010.
3. P. Gauduchon: Calabi's extremal Kähler metrics: An elementary introduction, available at