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SUMMARY:Edna Jones (Rutgers University)
DTSTART:20210309T143000Z
DTEND:20210309T153000Z
DTSTAMP:20260421T151810Z
UID:CamNT/11
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CamNT/11/">A
 n Asymptotic Local-Global Principle for Integral Kleinian Sphere Packings<
 /a>\nby Edna Jones (Rutgers University) as part of Cambridge Number Theory
  Seminar\n\n\nAbstract\nWe will discuss an asymptotic local-global princip
 le for certain integral Kleinian sphere packings. Examples of Kleinian sph
 ere packings include Apollonian circle packings and Soddy sphere packings.
  Sometimes each sphere in a Kleinian sphere packing has a bend (1/radius) 
 that is an integer. When all the bends are integral\, which integers appea
 r as bends? For certain Kleinian sphere packings\, we expect that every su
 fficiently large integer locally represented everywhere as a bend of the p
 acking is a bend of the packing. We will discuss ongoing work towards prov
 ing this for certain Kleinian sphere packings. This work uses the circle m
 ethod\, quadratic forms\, and spectral theory.\n
LOCATION:https://researchseminars.org/talk/CamNT/11/
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