Department of Mathematical Sciences
Events
People
Colloquia and Seminars
Conferences
Centers
Positions
Areas of Research
About the Department
Alumni |
Model Theory Seminar
Sebastien Vasey Carnegie Mellon University Title: Infinitary stability theory, part V Abstract: In 1990, Makkai and Shelah studied the class of models of an $L_{\kappa, \omega}$ sentence, where $\kappa$ is strongly compact. Among many other results, they showed that Galois types (a purely semantic notion of types) and syntactic types conveyed the same information. In particular, Galois types are determined by their restrictions to sets of size less than $\kappa$. This last property was later isolated by Grossberg and VanDieren and called tameness. In this talk, I will show that tameness already implies that Galois types are (in some sense) syntactic, thus generalizing Makkai and Shelah's result. I will give several applications to the stability theory of tame abstract elementary classes. Date: Monday, November 17, 2014 Time: 5:00 pm Location: Wean Hall 8220 Submitted by: Grossberg |