groups and dynamics (abstract)

Texas A&M University, Department of Mathematics, 216 Milner Hall, 17th and 24th of September 2008, 3:00-3:50

Groups and Dynamics Seminar

Iterated monodromy group of a self-map of CP^2

Volodymyr Nekrashevych of Texas A&M University

I will give a combinatorial model of the Julia set of a post-critically finite endomorphism of CP^2, studied by Fornaess and Sibony. We will start from the study of the iterated monodromy group of the map, its finite subgroups and its nucleus. Then we will use the structure of the nucleus to construct a complex of groups, which is the first level approximation of the Julia set. Then, by a general technique, we will get an inductive cut-and-paste procedure to build a sequences of complexes converging to the Julia set.