Ramsey theory and topological dynamics

CUNY Logic WorkshopFriday, December 11, 20152:00 pmGC 6417

Dana Bartosova

Ramsey theory and topological dynamics

Universidade de São Paulo

I will introduce two prominent dynamical systems for a given toplogical group, the greatest ambit and the universal minimal flow, as spaces of (near) ultrafilters on certain Boolean algebras. Representing a topological group as a group of isometries of a highly symmetric structure, I will hint how metrizability and triviality of the universal minimal flow is linked to the (approximate) structural Ramsey property. My focus will lie on problems that arise in the study of universal minimal flows in Ramsey theory, model theory, set theory and continuum theory.

Posted by on August 28th, 2015