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.
Penn Undergraduate Mathematics Colloquium
Friday, December 4, 2015 - 3:00pm
Rob Kusner
University of Massachusetts, Amherst