Texas A&M University, Department of
Mathematics, 216 Milner Hall, 31st of October 2007, 3:00-3:50
Groups and Dynamics Seminar
Quantized calculus on Julia sets
Volodymyr Nekrashevych of Texas A&M
University
IWe will show how iterated monodromy groups can be used to construct
natural Fredholm modules over the algebra of continuous functions on
the Julia set of an expanding map. As an application we will generalize
a formula by Connes and Sullivan for Hausdorff dimension of a
quasicircle to Julia sets of arbitrary sub-hyperbolic rational
functions.