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