Speaker: Bill Floyd, Virginia Tech
Title: Finite subdivision rules and rational maps
Abstract: A finite subdivision rule gives an essentially combinatorial method for recursively subdividing planar complexes. The theory was developed (as part of an approach to Cannon’s conjecture) as a tool for studying the recursive structure at infinity of Gromovhyperbolic groups, but it is becoming increasingly useful for studying postcritically finite rational maps. I’ll give an overview (with lots of graphic images) of some of the connections between finite subdivision rules and rational maps.

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