Sep 22

Math/Stats Colloquium: Edna Jones

A talk by Edna Jones of Rutgers University

Tuesday, September 22nd, 2020
4:00 – 5:00 pm / Zoom

Speaker: Edna Jones (Rutgers University)

Title: Apollonian Circle Packings, Integers, and Higher-Dimensional Sphere Packings

Abstract: An Apollonian circle packing is a certain circle packing in which the circles do not intersect but may be tangent to each other. What do Apollonian circle packings have to do with integers? Under certain conditions, each circle in an Apollonian circle packing has a bend (1/radius) that is an integer! When all the bends are integral, which integers appear as bends? It turns out that this is a hard question to answer. However, it is easier to answer a similar question for analogous higher-dimensional sphere packings.

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Sponsored by Mathematics and Statistics Events. Contact: Sue Jandro