The following notes are from the Ramsey DocCourse in Prague 2016. The notes are taken by me and I have edited them. In the process I may have introduced some errors; email me or comment below and I will happily fix them.
Title: Ramsey and Ultrafilter 1 (of 2)
Lecturer: Slawomir Solecki
Date: Wednesday October 19, 2016.
Main Topics: Gowers’ Theorem, Lupini’s Theorem, Furstenberg-Katznelson Theorem, Monoids, Semigroups.
Lecture 1 – Lecture 2
You might also be interested in Solecki’s independent lecture about projective Fraisse limits [link soon].