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Northwestern-UIC Complex Geometry Seminar | Chi Li (Rutgers University)

Tuesday, May 12, 2026 | 5:00 PM - 6:00 PM CT
Harris Hall, L07, 1881 Sheridan Road, Evanston, IL 60208 map it

Title: On the volume of Kähler-Einstein Fano varieties

Abstract:

I will talk about a joint work with Minghao Miao, which proves that:  in any dimension n, the second largest volume of Kähler-Einstein Fano manifolds is obtained exactly by the volume of quadric hypersurface and the product CP^1*CP^(n-1). 

We prove this by using the theory of K-stability and its new connection with minimal rational curves on Fano manifolds. The singular case will also be discussed in its relation to the volume of Klt singularities.

Audience

  • Faculty/Staff
  • Student
  • Post Docs/Docs
  • Graduate Students

Contact

Yuchen Liu
Email

Interest

  • Academic (general)

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