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.

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.

Zoom Meeting ID：849 963 1368 
Passcode：YMSC

This course is organized by Qiuzhen College.

Notes and videos:      Videos      Notes