EVENT DETAILS AND ABSTRACT

Title: Systems without topological nilfactors and complexity
Speaker: Alejandro Maass
Speaker Info: University of Chile
Brief Description:
Special Note:
Abstract:

Nilsystems are a natural generalization of rotations and arise in various contexts, including in the study of multiple ergodic averages in ergodic theory, in the structural analysis of topological dynamical systems, and in asymptotics for patterns in certain subsets of the integers. We show, however, that many natural classes of systems in both measure preserving systems and topological dynamical systems contain no higher order nilsystems as factors, meaning that the only nilsystems they contain as factors are rotations. We deduce several ergodic applications of these results. (Joint work with Bernard Host and Bryna Kra)