Lionel Nguyen Van Thé: An introduction to the Kechris-Pestov-Todorcevic correspondence.
In 2005, Kechris, Pestov and Todorcevic established a surprising
correspondence between structural Ramsey theory and topological
dynamics, which triggered a new interest for the former of these
fields. The purpose of this series of lectures is to present a
self-contained introduction of this correspondence and of some of the
developments that followed.
- A. S. Kechris, V. G. Pestov and S. Todorcevic, Fraïssé limits,
Ramsey theory and Topological dynamics of automorphism groups, Geom.
Funct. Anal. 15 (2005), 106-189. https://arxiv.org/abs/math/0305241
- L. Nguyen Van Thé, A survey on structural Ramsey theory and
topological dynamics with the Kechris-Pestov-Todorcevic correspondence
in mind, /in Selected Topics in Combinatorial Analysis, Zb. Rad.
(Beogr.)/, 17 (25), 189-207, 2015. https://arxiv.org/abs/1412.3254