Fekete points, an overview

Joaquim Ortega-Cerdà

I will present an overview of the distribution of Fekete points in several contexts. These are points that minimize a certain energy and that appear naturally in problems ranging from electrostatics to approximation theory.

We will overview the results in different contexts, from the classical weighted Fekete points in the plane to more elaborated versions in complex Riemannian manifolds. We will explore how the connection to other sets of points can be enlightening in their study and will provide some applications.