Groups and Dynamics: Topology, Measure, and Borel Structure

Abstract

While the subjects of topological dynamics, ergodic theory, and descriptive set theory have long interacted in a variety of profitable ways, recent developments have ushered in a vigorous new phase of interplay between them, from the abstract transfer and coordinated development of ideas and methods (as in the theory of dynamical tilings) to the direct leveraging of technical points of contact (as in boundary theory). The workshop served as a platform for promoting and advancing these connections by bringing together researchers working on various facets of topological, measured, and Borel dynamics.