The Parameter Space of Apollonian Circle Packings
Summer Haag
University of Colorado Boulder
https://math.colorado.edu/~suha3163/
Date(s) : 03/03/2026 iCal
11h00 - 12h00
Apollonian circle packings (ACPs) are a fractal created by continual inversion through 4 mutually tangent circles or a quadruple. The study of integral ACPs has many connections to geometry, number theory, group theory, etc. and leads to very nice illustrations. But there 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 parameter space of quadruples answers this question and is in fact an ACP itself! I will discuss what the parameter space is, how it distinguishes quadruples and packings, and how it relates to Möbius transformations.
Ce séminaire est commun aux équipes arithmétiques marseillaises (GDAC, ATI, G-MOD).
Emplacement
I2M Luminy - TPR2, Salle de Séminaire 304-306 (3ème étage)
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