In recent years, the problem of evenly distributing points on manifolds such as spheres or projective spaces has attracted the attention of both pure and applied mathematicians. A common approach to this challenge involves minimizing certain pairwise interaction energies. In this talk, I will tackle the problem of minimizing the Riesz energy on the Grassmann manifold. In particular, I will show how to derive upper bounds for this energy on the Grassmannian Gr(2,4) using determinantal point processes. This is joint work with Ujué Etayo.
Upper bounds for the Riesz energy on the Grassmannian using determinantal point processes
12.11.2024 15:00 - 16:30
Organiser:
M. Ehler and J. L. Romero
Location:
SR1