Iterated monodromy groups are self-similar groups associated to partial self-coverings. In my talk I will give an introduction to iterated monodromy groups of post-singularly finite entire transcendental functions. These groups act self-similarly on a regular rooted tree, but in contrast to IMGs of rational functions, every vertex of the tree has countably infinite degree.

I will also discuss the similarities and differences of IMGs of entire transcendental functions and of polynomials, in particular in the direction of amenability.

Meeting ID: 852 4277 3200 Passcode: 103121