Dana Bartošová: Dual Ramsey, the Gurarij space and the Poulsen simplex
We will talk about an extension of the Kechris-Pestov-Todorcevic correspondence and its applications to continuous logic. We will, in particular, focus on two examples of metric structure: the Gurarij space and the Poulsen simplex and the related approximate Ramsey properties of finite dimensional Banach spaces and of finite dimensional simplexes, respectively. The combinatorial core of these Ramsey-type results is the Dual Ramsey Theorem by Graham and Rothschild.
