EVENT DETAILS AND ABSTRACT

Title: Regionally proximal relations, independence and nilsystems
Speaker: Alejandro Maass
Speaker Info: University of Chile
Brief Description:
Special Note:
Abstract:

The notion of dynamical parallelepiped was introduced in topological dynamics inspired in the proofs of non-conventional ergodic averages by Host and Kra and its extensions. Among other properties, these parallelepipeds allow to define regionally proximal relations of higher order which characterize the maximal nilfactors of a topological dynamical system. In this talk we will look to the regionally proximal relations from the local complexity theory point of view. In particular, we will see that the "nil part" of a topological dynamical system is characterized by special types of recurrence with respect to open covers.