Graduate Geometry, Topology and Dynamics Seminar
Robert Kozma
UIC
New Density Bounds and Optimal Ball Packings for Hyperbolic Space
Abstract: We consider ball packings of hyperbolic space, motivating the discussion with recent developments in three dimensions.
We then show that it is possible to exceed the conjectured $4$-dimensional packing density upper bound due to L. Fejes-T\'oth (Regular Figures, 1964). We give several examples of horoball
packing configurations that yield higher densities of $\approx 0.71$ where horoballs are centered at the ideal vertices of certain Coxeter simplex tilings.
Wednesday September 9, 2015 at 3:00 PM in SEO 612