Speaker: Szu Ting Kitty Yang

Time: Jan 28, 2022 01:00 PM Central Time (US and Canada)

Abstract: In the study of dynamical systems, an important class of examples consists of subshifts. By coding the orbits of points. you can model any dynamical system with a subshift. In this talk, we will focus on substitution subshifts, which arise by iterating a finite substitution. Given a subshift, we can associate various groups, including the automorphism group and the mapping class group, which reflect dynamical properties of its subshift. We will end the talk with a result that characterizes the mapping class group of a substitution subshifts, and look at various examples.