Minimal energy problems with Riesz potentials
May 3 to May 7, 2021
at the
American Institute of Mathematics,
San Jose, California
organized by
Dmitriy Bilyk,
Alexander Reznikov,
Edward Saff,
and Sylvia Serfaty
Original Announcement
This workshop will focus on the interplay between several topics related to optimal discrete configurations for Riesz potentials: linear programming techniques, Coulomb gases techniques, classical analysis and geometric measure theory techniques. Based on recent very exciting new results in the field, we will tackle several important problems, such as:
- Universal optimality of the hexagonal lattice on the plane;
- Clustering of point configurations optimal for some specific potentials;
-
Discrete Max-Min (polarization) Problems for Riesz Potentials;
- Minimal energy on fractal sets.
Material from the workshop
A list of participants.
The workshop schedule.
A report on the workshop activities.
A list of open problems.
Papers arising from the workshop:
