Stable and unstable del Pezzo surfaces
3:00pm - 4:00pm /
Friday 27th November 2015
Type: Seminar /
Category: Research
- 0151 794 4001
- Mrs Joanna Seed
- Suitable for: staff and students
- Admission: free
- Book now
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Our guest is Dr. Ivan Cheltsov from the University of Edinburgh.
The colloquium is scheduled at 3pm in Room G16.
Refreshments are in the common room 304a at 2-30pm.
Abstract: Yau-Tian-Donaldson conjecture, recently proved by Chen, Donaldson and Sun, says that a Fano manifold is Kahler-Einstein if and only if it is K-stable. Its stronger form, still open, says that a polarized manifold (M,L) is K-stable if and only if M admits a constant scalar curvature with Kahler class in L. In this talk, I will describe K-stability of ample line bundles on smooth del Pezzo surfaces. I will show how to apply recent result of Dervan to prove K-stability and how to use flop-version of Ross and Thomas's obstruction to prove instability. The talk is based on my joint work with Jesus Martinez-Garcia (Johns Hopkins University, Baltimore, USA).
The colloquium is scheduled at 3pm in Room G16.
Refreshments are in the common room 304a at 2-30pm.
Abstract: Yau-Tian-Donaldson conjecture, recently proved by Chen, Donaldson and Sun, says that a Fano manifold is Kahler-Einstein if and only if it is K-stable. Its stronger form, still open, says that a polarized manifold (M,L) is K-stable if and only if M admits a constant scalar curvature with Kahler class in L. In this talk, I will describe K-stability of ample line bundles on smooth del Pezzo surfaces. I will show how to apply recent result of Dervan to prove K-stability and how to use flop-version of Ross and Thomas's obstruction to prove instability. The talk is based on my joint work with Jesus Martinez-Garcia (Johns Hopkins University, Baltimore, USA).