Texas A&M University, Department of
Mathematics, 216 Milner Hall, 8th of February 2006, 3:00-3:50
Groups and Dynamics Seminar
A Cantor set of
3-generated groups II: Limit space and dynamics
Volodymyr Nekrashevych of Texas A&M
University
We give a dynamical interpretation of the uncountable family of
3-generated groups from the previous talk. The groups D_w are iterated
monodromy groups of non-autonomous ("random")
backward iterations of quadratic polynomials. They are also fibers of a
holomorphic map from CP^2 to itself. The
iterated monodromy group of this map was used in the previous talk to
derive most properties of the groups D_w.
Movies visualizing the Julia set of the self-map of CP^2 will be
shown. The talk will be self-contained, so not only the participants of
the previous meeting are invited.