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

Reference week

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