We first review the basics of Hodge theory. We then focus on specific examples, such as abelian varieties and hyperkaehler manifolds. This may also involve some discussion of Shimura varieties. 

We will also do some mixed Hodge theory.

Some basic knowledge of manifold theory and algebraic geometry.

I will try to write notes for the course. Text book references for part of the course are:

Griffiths-Harris: Principles of Algebraic Geometry

Griffiths et al: Topics in Algebraic Geometry

Peters-Steenbrink: Mixed Hodge Structures

Zoom Meeting ID：849 963 1368   
密码: YMSC

视频链接：

9.14：http://ymsc.tsinghua.edu.cn/cn/content/show/99-33.html

9.16：http://ymsc.tsinghua.edu.cn/cn/content/show/99-34.html

9.21: http://ymsc.tsinghua.edu.cn/cn/content/show/99-38.html

9.23: http://ymsc.tsinghua.edu.cn/cn/content/show/99-40.html

9.28: http://ymsc.tsinghua.edu.cn/cn/content/show/99-42.html

9.30: http://ymsc.tsinghua.edu.cn/cn/content/show/99-44.html

10.05: http://ymsc.tsinghua.edu.cn/cn/content/show/99-46.html

10.07: http://ymsc.tsinghua.edu.cn/cn/content/show/99-48.html

Video Download：

https://pan.baidu.com/s/1tZS2uogXta-jZs3i2IIRPw
密码：YMSC