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Logic Seminar

Wednesday, May 11, 2022
12:00pm to 1:00pm
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The number of ergodic models of an infinitary sentence
Rehana Patel, African Institute for Mathematical Sciences,

Given an Lω1ωLω1ω-sentence φφ in a countable language, we call an ergodic S∞S∞-invariant probability measure on the Borel space of countable models of φφ (having fixed underlying set) an ergodic model of φφ. I will discuss the number of ergodic models of such a sentence φφ, including the case when φφ is a Scott sentence. This is joint work with N. Ackerman, C. Freer, A. Kruckman and A. Kwiatkowska.

For more information, please contact Math Dept. by phone at 626-395-4335 or by email at A. Kechris at [email protected].