### Minimal Energy and Maximal Polarization

- Series
- School of Mathematics Colloquium
- Time
- Thursday, October 31, 2013 - 11:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Ed Saff – Vanderbilt University

This talk deals with problems that are asymptotically related to best-packing and best-covering. In particular, we discuss how to efficiently generate N points on a d-dimensional manifold that have the desirable qualities of well-separation and optimal order covering radius, while asymptotically having a prescribed distribution. Even for certain small numbers of points like N=5, optimal arrangements with regard to energy and polarization can be a challenging problem.