Midwest Model Theory Seminar
Nick Ramsey
UCLA
Model-theoretic tree properties
Abstract: The first model-theoretic tree properties were introduced by Shelah as a by-product of his analysis of forking in stable theories. Since then, other tree properties have appeared and, together, these combinatorial dividing lines (TP, TP_1/SOP_2, TP_2, SOP_1,...) serve as the basis for a growing body of research in model theory. I'll survey the work done in this area (and try to justify the idea that it can be understood as an area) by explaining three of the core ingredients in the theory developed so far: generalized indiscernibles, dividing at a generic scale, and amalgamation.
This meeting will be using Cisco Webex - please write an email to jfreitag@uic.edu or mem@math.uchicago.edu to be put on the mailing list with login information.
To be added to the mailing list for future seminar announcements, please email jfreitag@uic.edu
Tuesday August 25, 2020 at 3:00 PM in Cisco Webex