Penn Arts & Sciences Logo

Penn Undergraduate Mathematics Colloquium

Friday, December 4, 2015 - 3:00pm

Rob Kusner

University of Massachusetts, Amherst

Location

University of Pennsylvania

DRL A6

A century ago, physicists imagined an atom as a "plum-pudding" with a positively charged "plum" in the middle and negatively charged "raisins" on the surface. That model fell into disfavor with the advent of quantum physics, but the optimal distribution of points on the 2-sphere remains an interesting geometric problem. We'll discuss how this might be done using various repulsive potentials and also explore its connections with the more recently introduced "MAPbius Energy" of links in 3-space and the 3-sphere.