Homotopy Type Theory and Univalent Foundations of Mathematics I

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• Chris Kapulkin, University of Pittsburgh
• Tuesday 28 June 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).

The first talk will be a survey on Homotopy Type Theory. We will discuss the semantics of type theory in different presentations of homotopy theory (e.g. Quillen model categories, higher categories) as well as some constructions on syntax indicating partial completeness of these semantics.

This talk is part of the Category Theory Seminar series.

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