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Gluing models of type theory

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

There is a ‘logical relations’ or ‘gluing’ construction for models of intensional Martin-Löf type theory. In one form it constructs a model of type theory fibred over some base model out of a fibrewise collection of models. I will summarize the construction of the fibred type-theoretic structure on the total category of a fibration, and show how dependent products can still exist in the total model even if they do not quite exist in the fibrewise models. This generalizes the construction of von Glehn’s polynomial model.

This talk is part of the Category Theory Seminar series.

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