Groups and Dynamics Seminar

Date: September 18, 2019

Time: 3:00PM - 4:00PM

Location: BLOC 220

Speaker: Misha Lyubich, Stonybrook

Title: Quasisymmetries of Julia sets

Abstract: We will describe the group of quasisymmetric self-homeomorphisms of some Julia sets J. The answer depends substantially on the Julia set in question. For instance, for a ``Sierpinski carpet" J, this group turns out to be finite, for the ``basilica" J it is an uncountably infinite group containing the circle Thompson group, while for an ``Apollonian gasket" J, it is countably infinite. Based on joint results with M. Bonk, R. Lodge, S. Merenkov, and S. Mukherjee.