Nivedita Viswanathan (Edinburgh) - On K-stability of some singular del Pezzo surfaces
Channel: Jesús Martínez-García
Date: 09/12/2020

Nivedita Viswanathan (Edinburgh) - On K-stability of some singular del Pezzo surfaces.

Talk delivered at EDGE 2020 (online) Workshop "Explicit K-stability and Moduli Problems".

https://www.maths.ed.ac.uk/cheltsov/edge2020/

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.