Program
Lectures on Kähler geometry and K-stability
Student No.:20
Time:Wed & Fri, 13:30-15:05
Instructor:Akito Futaki  [Tsinghua University]
Place:Lecture Hall, Jin Chun Yuan West Bldg.
Starting Date:2018-4-11
Ending Date:2018-6-15

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.

 

Prerequisite: Some familiarity with manifolds and Lie groups

 

References:
[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
http://germanio.math.unifi.it/wp-content/uploads/2015/03/dercalabi.pdf#search=%27Gauduchon+Kahler%27