|Topics in geometric analysis|
|Time：||【Updated】Thu 15:10-17:00, 17:10-19:00, 2017-03-07~ 2017-06-01 (No classes on public holidays)|
|Instructor：||Yuguang Zhang [Tsinghua University]|
|Place：||Conference Room 3, Floor 2, Jin Chun Yuan West Building|
I will give an introduction to some topics in geometric analysis. I’m planning to talk about the Calabi-Yau theorem for the existence of Kahler-Einstein metrics, K-stabilities, Bergman kernels, special lagrangian submanifolds, and the semi-flat mirror construction etc. The goal of this lecture is to introduce the basic knowledge for understanding the statements of some central conjectures in the field, for example the Yau-Tian-Donaldson conjecture and the differential geometric aspect of the Strominger-Yau-Zaslow conjecture.
Riemannian geometry, elliptic partial differential equation, and some basic algebraic geometry.
G. Szekelyhidi, An introduction to extremal Kahler metrics, AMS.
D. Joyce, Riemannian holonomy groups and calibrated geometry, Oxford.
M. Gross, D. Huybrechts, D.Joyce, Calabi-Yau manifolds and related geometries, Springer.