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Semi-Segal types in Homotopy Type Theory

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If you have a question about this talk, please contact Tamara von Glehn.

The higher dimensional nature of Homotopy Type Theory (HoTT) makes the notion of (∞,1)-category the appropriate categorical structure for modelling collections of types. However, it has so far proved very difficult to give an internal definition of (∞,1)-category that is general enough to capture known examples (e.g. universes).

We will show how the definition of complete Segal space can be adapted to the context of HoTT to provide a well-behaved notion of (∞,1)-category that supports many of the familiar categorical constructions.

This talk is part of the Category Theory Seminar series.

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