Topics in algebraic geometry:
Intersection Homology and Perverse Sheaves
Description
In this course, we will cover the theory of intersection homology, perverse sheaves, and the BBDG decomposition theorem and its applications.
References
We will mainly follow the textbook Intersection Homology & Perverse Sheaves with Applications to Singularities by Laurenţiu G. Maxim. You may also find the following list of references useful:- "An illustrated guide to perverse sheaves" by Geordie Williamson.
- "Perverse sheaves and the topology of algebraic varieties (2015 PCMI)" by Mark Andrea de Cataldo.
- "The Decomposition Theorem and the topology of algebraic maps" by Mark Andrea de Cataldo and Luca Migliorini.
- "Sheaves in Topology" by Alexandru Dimca.
- "An Introduction to Intersection Homology Theory" by Frances Kirwan and Jonathan Woolf.
- "Lecture notes on sheaves and perverse sheaves" by Mark Goresky.
- "Intersection Homology and Perverse Sheaves" by Robert MacPherson.
- "Faisceaux pervers" by Alexander A. Beilinson, Joseph Bernstein and Pierre Deligne.
Course information
Prerequisites: We will assume some basics of algebraic geometry and algebraic topology.
Instructors: Yongqiang Liu and Jia Choon Lee
Final grade: TBD
Medium of instruction: Chinese
Time: Tuesday 19:30-21:55, Thursday 15:55-17:30
Location: 5401