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Model Theory Seminar
Will Boney
Mathematical Sciences, Carnegie Mellon
Title: Categoricity in $L_{kappa, omega}$ when $kappa$ is strongly compact, Part 3.

Abstract: In this series of talks, I will present a result of Makkai and Shelah that is an analogue to Morley s theorem in $L_{kappa, omega}$. This requires using $kappa$ being strongly compact, which says that any collection of sentences from $L_{kappa, kappa}$ is consistent iff every $< kappa$ sized subset of it is consistent. The proof of this is much different than the proof of Morley s theorem and goes through a concept called forking, which is an important extension of splitting.

Date: Wednesday, September 29, 2010
Time: 3:30 pm
Location: Wean Hall 8220
Submitted by:  Rami Grossberg