Collection Model Theory and Combinatorics
Organizer(s)
Date(s)
26/01/2018
- 02/02/2018
Metrizable universal minimal flows and Ramsey theory
The connection between Ramsey theory and topological dynamics goes back at least to Furstenberg who used dynamical systems of the group of integers to derive a new proof of Van Der Waerden’s theorem. More recently, Kechris, Pestov, and Todorcevic developed a new correspondence between structural Ramsey theory and certain universal dynamical systems of the corresponding automorphism groups. I will survey what is known in the area as well as the most important open questions. I will also discuss some recent generalizations of the framework to the continuous setting.
