Topics in Kähler geometry

Teacher :Akito Futaki
Schedule: Every Mon. & Wed. 13:30-15:05 2021-9-13 ~ 12-3
Venue:Conference Room 1, Jin Chun Yuan West Bldg.


The first half is an introduction to 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. The second half treats recent topics such as volume minimizations related to Sasaki-Einstein metrics and some symplectic geometry including deformation quantization.