Aleksandra Kwiatkowska: Universal flows and Ramsey theory

Tuesday, March 22, 2016, 17:15
Wrocław University of Technology, 215 D-1

Speaker: Aleksandra Kwiatkowska (University of Bonn)

Title: Universal flows and Ramsey theory

Abstract:

The subject lies on the crossroad of topological dynamics, topology, topological groups and Ramsey theory.
We will present Kechris-Pestov-Todorcevic theorem about connections between structural Ramsey theory, extremely amenable groups and universal minimal flows.
We will show some examples. Next, we will focus on groups of homeomorphisms (Cantor set, Lelek fan, pseudoarc, Hilbert cube). We will recall known results and ask some questions.

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