Groups and Dynamics Seminar

Date: February 14, 2018

Time: 3:00PM - 4:00PM

Location: BLOC 220

Speaker: Bernhard Reinke, Jacobs University, Bremen

Title: Iterated Monodromgy Groups of entire functions

Abstract: Iterated Monodromy Groups can also be defined for post-singularly finite transcendental functions. They have a self-similar action on a regular rooted tree, but in contrast to IMGs of rational functions, every vertex of the tree has infinite degree. In my talk, I will focus mainly on the exponential family, where we can show that the associated IMG is amenable, using an explicit description of the IMG in terms of the kneading sequence of the exponential map.