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.