On K-stability of some singular del Pezzo surfaces

Nivedita Viswanathan (University of Edinburgh)

08-Dec-2020, 13:00-14:00 (5 years ago)

Abstract: There has been a lot of development recently in understanding the existence of Kahler-Einstein metrics on Fano manifolds due to the Yau-Tian-Donaldson conjecture, which gives us a way of looking at this problem in terms of the notion of K-stability. In particular, this problem is solved in totality for smooth del Pezzo surfaces by Tian. For del Pezzo surfaces with quotient singularities, there are partial results. In this talk, we will consider singular del Pezzo surfaces which are quasi-smooth, well-formed hypersurfaces in weighted projective space, and understand what we can say about their K-stability. This is joint work with In-Kyun Kim and Joonyeong Won.

algebraic geometry

Audience: researchers in the topic


EDGE 2020 (online)

Series comments: The workshop subject will be EXPLICIT K-STABILITY AND MODULI PROBLEMS. Webpage to follow. Please, do register using the form to get a link to connect. On Monday and Thursday we will have a social (bring your own drink).

Organizers: Ivan Cheltsov*, Anne-Sophie Kaloghiros, Jesus Martinez Garcia*
*contact for this listing

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