# Seminar 02.11.21 Donoso

Title: Topological and combinatorial aspects of finite topological rank systems

Speaker: Sebastián Donoso – University of Chile

Abstract: In this talk, I will review recent results in the class of finite topological rank minimal subshifts. Such systems are the ones that can be represented with a Bratteli diagram (and a Vershik map on it) where the number of vertices at each level is uniformly bounded. I will analyze their correspondence with the $\mathcal{S}$-adic subshifts and their complexity word function.