Geometry and Dynamics Seminar

Anastasia Shepelevtseva

(Higher School of Economics, Russia)

"Distinguishing Thurston equivalence classes of different captures."

Date: Wed, January 18, 2017
Time: 14:15
Place: Research I Seminar Room

Abstract: Captures were defined by B.Wittner and M.Rees as combinatorial operations making post-critically finite hyperbolic polynomials into post-critically finite rational functions. The Iterated Monodromy Group (IMG) provides a complete invariant for a Thurston equivalence class of a post-critically finite branched covering. Knowing the IMGs helps distinguishing different captures. In this talk I am planning to tell how a combinatorial presentation of a branched covering translates into an explicit presentation of its IMG. An invariant graph containing the post-critical set is used as a major tool.