[1114] NIP, Keisler measures and combinatorics
Keisler measures were introduced by H.J. Keisler in 1987 as finitely additive probability measures on Boolean algebras of definable sets. Almost 20 years later Keisler's work was revisited, significantly improved and deepened in a series of papers by E. Hrushovski, A. Pillay, Y. Peterzil, P. Simon. In this talk I will survey Keisler measures and try to demonstrate that Keisler's measures on so called distal structures provide a very natural framework for various combinatorial problems.
[After H.J. Keisler, E. Hrushovski, A. Pillay, Y. Peterzil, P. Simon,..]