The workshop will motivate and go through the main proofs of the recent Malliaris-Shelah paper "Cofinality spectrum theorems in model theory, set theory and general topology."
Although this is a technical paper, at its core is a series of natural ideas and images, and the aim of the workshop will be to explain this core as directly as possible.
We will see why the two problems solved by the paper, that 𝔭=𝔱 and that SOP2 is maximal in Keisler's order, can be seen as instances of a more fundamental problem involving a comparison of orders and trees, and we will go through the main steps in the analysis of these so-called cofinality spectrum problems. Along the way we will discuss the larger picture of Keisler's order along with some model-theoretic classification theory.
VERY IMPORTANT NOTE ABOUT LODGING: A block of rooms earmarked for attendees has been set aside at a local hotel (the Shadyside Inn). If we are covering your lodging expenses then we will need to make a reservation for you. Please don't make your own reservation if we have promised you support, this will cause confusion and may make it impossible for us to reimburse you.
Funds provided by the National Science Foundation will be used to reimburse some participant transportation and lodging expenses. Priority will be given to students and faculty who do not hold federal research grants. Please request such funds as far in advance of the meeting as possible by sending the following information to the email address firstname.lastname@example.org