Skip to main content

Sphere Packings and Arithmetic

Posted in
Speaker: 
Alex Kontorovich
Affiliation: 
Rutgers University
Date: 
Thu, 05/07/2018 - 14:00 - 14:50
Location: 
MPIM Lecture Hall

We define a general class of "crystallographic" sphere packings, and study the subclass of "superintegral" such. We prove an "arithmeticity" theorem, connecting these to the theory of hyperbolic arithmetic reflection lattices. As a consequence, superintegral packings only exist in finitely many dimensions, and in fact in finitely many commensurability classes, in principle allowing for a complete classification.

© MPI f. Mathematik, Bonn Impressum & Datenschutz
-A A +A