Homotopy Type Theory and Univalent Foundations of Mathematics III

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• Chris Kapulkin, University of Pittsburgh
• Friday 01 July 2011, 14:15-15:15
• MR13, Centre for Mathematical Sciences.

If you have a question about this talk, please contact Nathan Bowler.

This series of talks is an introduction to Homotopy Type Theory and the Univalent Foundations of Mathematics. This new area of research develops a beautiful connection between algebraic topology (homotopy theory) and theoretical computer science (type theory).

In the last talk we will try to show that the Univalent Foundations are at least as consistent as ZFC . We will do so by constructing a model of the Univalence Axiom in the category of simplicial sets. If time permits, we will sketch some open problems in the field.

This talk is part of the Category Theory Seminar series.

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