Model Theory Seminar on Monday 11/3/2014 and 11/17/2014

Sebastien Vasey will continue talking on his infinitely long paper,
delivering parts 4 and 5:

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Model Theory Seminar

Sebastien Vasey

Carnegie Mellon
Title: Infinitary stability theory, part IV

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 3, 2014
Time: 5:00 – 6:30 PM
Location: Wean 8220

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Model Theory Seminar

Sebastien Vasey

Carnegie Mellon
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 – 6:30 PM
Location: Wean 8220

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