|Topology of Algebraic Varieties|
|Time：||Tue/Fri 13:00-14:50, 2016-03-01~ 2016-06-07 (except for public holidays)|
|Instructor：||Eduard Looijenga [Tsinghua University]|
|Place：||Conference Room 1, Floor 1, Jin Chun Yuan West Building|
The webpage of this course:
We describe the topological and cohomological properties of projective and quasi-projective varieties. This includes theorems of Lefschetz type in the setting of ordinary and of intersection cohomology. Towards the ends of the course we bring in Hodge theory and discuss the theory of Hodge modules. (The course will have a webpage)
For the first half of the course, we need the basics of algebraic topology and classical algebraic geometry (e.g., AG-1); the second half will require also familiarity with Hodge theory. Towards the end we need some more advanced material, but that may be covered in the course.
References will be given later (see webpage), but will include: Goresky-MacPherson: Stratified Morse theory Springer-Verlag, Berlin, 1988. xiv+272 pp. I shall also produce notes for this course.