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Complexity classes of simple theories

Model Theory in Geometry and Arithmetic May 12, 2014 - May 16, 2014

May 16, 2014 (09:30 AM PDT - 10:30 AM PDT)
Speaker(s): Maryanthe Malliaris (University of Chicago)
Location: MSRI: Simons Auditorium
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Recent work of Malliaris and Shelah has given a characterization of simple theories in terms of saturation of ultrapowers. The proof involves developing a framework for classifying the complexity of amalgamation patterns in simple theories. The talk will be about the model-theoretic picture of complexity emerging from this analysis.

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