for this workshop
Minimal energy problems with Riesz potentials
American Institute of Mathematics, San Jose, California
Dmitriy Bilyk, Alexander Reznikov, Edward Saff, and Sylvia Serfaty
This workshop, sponsored by AIM and the NSF, 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.
This event will be run as an AIM-style workshop. Participants will be invited to suggest open problems and questions before the workshop begins, and these will be posted on the workshop website. These include specific problems on which there is hope of making some progress during the workshop, as well as more ambitious problems which may influence the future activity of the field. Lectures at the workshop will be focused on familiarizing the participants with the background material leading up to specific problems, and the schedule will include discussion and parallel working sessions.
The deadline to apply for support to participate in this workshop has passed.
For more information email firstname.lastname@example.org