Minimization of Multivariate Geometric Riesz Energies - Ryan Matzke

A great deal of study has been devoted to the optimization of Riesz energies on compact sets in euclidean spaces, over finite points sets or Borel probability measures. On the unit sphere, the natural multivariate analogues of the Riesz kernels will be defined, and we will discuss recent progress in minimizing the corresponding energies. The research in this presentation is joint work with Dmitriy Bilyk, Damir Ferizovi\'{c}, Alexey Glazyrin, Josiah Park, and Oleksandr Vlasiuk.