University of Cambridge > Talks.cam > Combinatorics Seminar > Keisler's order is not simple

Keisler's order is not simple

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  • UserMaryanthe Malliaris (Chicago)
  • ClockThursday 26 May 2022, 14:30-15:30
  • HouseCMS MR5.

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The ultraproduct construction gives a way of averaging an infinite sequence of mathematical structures, such as fields, graphs, or linear orders. The talk will be about the strength of such a construction, aiming to motivate and explain a theorem of Malliaris and Shelah which says that Keisler’s order, long thought to have finitely many classes (perhaps five or six), in fact has continuum many.

This talk is part of the Combinatorics Seminar series.

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