Peter Koltai (Freie Universitat Berlin) Title: Spatio-temporal computational methods for coherent sets Abstract: The decomposition of the state space of a dynamical system into metastable sets is important for understanding its essential macroscopic behavior. The concept is quite well understood for autonomous dynamical systems, and recently generalizations appeared for non-autonomous systems: coherent sets. Aiming at a unified theory, in this talk we first present connections between the measure-theoretic autonomous and non-autonomous concepts. We will do this by considering the augmented state space. Second, we introduce a data-based method to compute coherent sets. It uses diffusion maps for spatio-temporal trajectory data, and it is consistent in the infinite-data limit with the widely-used transfer operator approach for coherent sets.