Lionel Nguyen Van The: Structural Ramsey theory and topological dynamics

Wednesday June 24 to Friday June 26, 11:20-12:10

In 2003, Kechris, Pestov and Todorcevic showed that some dynamical properties of closed subgroups of the permutation group of the naturals are closely related to Ramsey-type properties of certain classes of finite structures. This series of talks will present different aspects of this connection via various examples and will focus on the following topics:
Closed subgroups of S_infty and countable ultrahomogeneous structures; Finite structural Ramsey theory, extreme amenability and universal minimal flows; Infinite structural Ramsey theory and oscillation stability.