[iasmath-seminars] Reminder for today's Members' Seminar

[Anthony V. Pulido]

INSTITUTE FOR ADVANCED STUDY
School of Mathematics
Princeton, NJ 08540

Members' Seminar
Monday, October 23


Topic: 		Geometry and arithmetic of sphere packings
Speaker: 	Alex Kontorovich, Rutgers University
Time/Room: 	2:00pm - 3:00pm/S-101
Abstract Link:	http://www.math.ias.edu/seminars/abstract?event=129299

We introduce the notion of a "crystallographic sphere packing," which 
generalizes the classical Apollonian circle packing. Tools from 
arithmetic groups, hyperbolic geometry, and dynamics are used to show 
that, on one hand, there is an infinite zoo of such objects, while on 
the other, there are essentially finitely many of these, in all 
dimensions. No familiarity with any of these topics will be assumed.