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DTSTART:20070311T020000
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DTSTAMP:20210309T181530
DTSTART;TZID=America/Detroit:20210309T170000
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SUMMARY:Workshop / Seminar:Complex Analysis\, Dynamics and Geometry Seminar
DESCRIPTION:The circle packing theorem associates a circle packing to each connected simple planar graph in the Riemann sphere. Drawing inspiration from Sullivan's dictionary\, there is a dynamically natural way to associate both a Kleinian group and an anti-rational map to each such packing\, and there is a dynamical identification of the limit and Julia sets. Using this identification\, we compute the topological symmetry and quasisymmetry groups of the Julia set associated to a large class of graphs (that correspond to so-called \"gaskets\"). The combinatorics of the original graph has further implications for the topology of the Julia set\, boundedness of deformation space\, and mate-ability\, some of which may be investigated in a future talk by Yusheng Luo.\n \nJoint work with Y. Luo\, M. Lyubich\, S. Merenkov\, S. Mukherjee Speaker(s): Russell Lodge (Indiana State)
UID:81645-20937497@events.umich.edu
URL:https://events.umich.edu/event/81645
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics
LOCATION:Off Campus Location
CONTACT:
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