K-stability
MATH-750 / 3 credits
Teacher: Patakfalvi Zsolt
Language: English
Remark: This is an algebraic geometry PhD course about K-stability.
Frequency
Only this year
Summary
The topic is K-stability of Fano varieties, including (as time permits): the definitions, the equivalences of definitions, examples, the connection to the existence Kahler-Einstein metrics, and the construction of the moduli space.
Content
The topic is K-stability of Fano varieties, including (as time permits): the definitions, the equivalences of definitions, examples, the connection to the existence Kahler-Einstein metrics, and the construction of the moduli space.
Learning Prerequisites
Required courses
MATH 510 - Algebraic geometry II - schemes and sheaves
Recommended courses
MATH 535 - Algebraic geometry III - selected topics
Resources
Bibliography
The book "K-stability of Fano varieties" by Chenyang Xu, and the lecture note "K-stability" by Harold Blum.
Moodle Link
In the programs
- Exam form: Term paper (session free)
- Subject examined: K-stability
- Courses: 28 Hour(s)
- Project: 28 Hour(s)
- Type: optional