Speaker
Caucher Birkar
Time
Every Friday 13:30-15:05
from 2025-02-21
Venue
B725
Shuangqing Complex Building A
Course description
This year-long course is an introduction to birational geometry, a central area of algebraic geometry. The aim is to introduce some of the core concepts and techniques in the birational classification theory of algebraic varieties. It will be suitable for advanced undergraduate students, PhD students, postdocs, and others interested in the subject.
Prerequisites
The audience is assumed to be familiar with the basics of algebraic geometry.
References
Outline：
1. Curves
2. Surfaces
3. Explicit geometry
4. Bend and break technique
5. Singularities and pairs
6. Kodaira dimension
7. MMP in higher dimension, minimal models, and Mori fibre spaces, flips, and finite generation
8. Generalised pairs
9. Boundedness and moduli of varieties
10. Sarkisov program, etc.
