K-stability
MATH-750 / 3 crédits
Enseignant: Patakfalvi Zsolt
Langue: Anglais
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
Dans les plans d'études
- Forme de l'examen: Mémoire (session libre)
- Matière examinée: K-stability
- Cours: 28 Heure(s)
- Projet: 28 Heure(s)
- Type: optionnel