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UID:9029@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20260303T110000
DTEND;TZID=Europe/Paris:20260303T120000
DTSTAMP:20260227T210621Z
URL:https://www.i2m.univ-amu.fr/evenements/the-parameter-space-of-apolloni
 an-circle-packings/
SUMMARY:Summer Haag (University of Colorado Boulder): The Parameter Space o
 f Apollonian Circle Packings
DESCRIPTION:Summer Haag: Apollonian circle packings (ACPs) are a fractal cr
 eated by continual inversion through 4 mutually tangent circles or a quadr
 uple. The study of integral ACPs has many connections to geometry\, number
  theory\, group theory\, etc. and leads to very nice illustrations. But th
 ere are other packings outside of integral ones\, so it is natural to ask 
 what kind of packing is produced and when they are equivalent. The paramet
 er space of quadruples answers this question and is in fact an ACP itself!
  I will discuss what the parameter space is\, how it distinguishes quadrup
 les and packings\, and how it relates to Möbius transformations.Ce sémin
 aire est commun aux équipes arithmétiques marseillaises (GDAC\, ATI\, G-
 MOD).
CATEGORIES:Séminaire,Ernest
LOCATION:I2M Luminy - TPR2\, Salle de Séminaire 304-306 (3ème étage)\, 1
 63 Avenue de Luminy\, Marseille\, 13009\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=163 Avenue de Luminy\, Mars
 eille\, 13009\, France;X-APPLE-RADIUS=100;X-TITLE=I2M Luminy - TPR2\, Sall
 e de Séminaire 304-306 (3ème étage):geo:0,0
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DTSTART:20251026T020000
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