EVENT DETAILS AND ABSTRACT

Title: Sturmian subshifts and PSL2(Q) equivalence
Speaker: Scott Schmieding
Speaker Info: Penn State University
Brief Description:
Special Note:
Abstract:

Sturmian subshifts are certain codings of irrational rotations on the circle which play an important role in symbolic dynamics. The groups PSL2(Z), and more generally PSL2(K) for a subring K of the reals, act on the set of irrational numbers via Mobius transformations, and we will discuss the following question: if alpha and beta are in the same PSL2(K)-orbit, how are the dynamics of the associated Sturmian subshifts related? We'll present some new results for K=Q, joint work with Christopher-Lloyd Simon.