Equidistribution estimates for Fekete points on complex manifolds
Presented by Joaquim ORTEGA CERDà
Type: Oral presentation
Track: Several Complex Variables
I will present a joint work with Nir Lev. We study the equidistribution of Fekete points in a compact complex manifold. These are extremal point configurations defined through sections of powers of a positive line bundle. Their equidistribution is a known result. The novelty of our approach is that we relate them to the problem of sampling and interpolation on line bundles, which allows us to estimate the equidistribution of the Fekete points quantitatively. In particular we estimate the Kantorovich-Wasserstein distance of the Fekete points to its limiting measure.