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Seminar

MT Research Seminar: On VC-minimality and variants March 26, 2014 (02:00 PM PDT - 03:30 PM PDT)
Parent Program: Model Theory, Arithmetic Geometry and Number Theory
Location: MSRI: Baker Board Room
Speaker(s) Vincent Guingona (University of Notre Dame)
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In this talk, I give an overview of a few strong tameness conditions on NIP theories, including VC-minimality, dp-minimality, and a few intermediate properties.  Specifically, I discuss these properties in the context of ordered groups, abelian groups, fields, and valued fields.  Time permitting, I conclude by talking about the VC-density problem in VC-minimal theories, exhibiting several approaches to the problem, including the UDTFS method and combinatorial methods.  A portion of this work is joint with Chris Laskowski and another portion is joint with Joseph Flenner.

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