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Modalities and HoTT

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If you have a question about this talk, please contact Nathanael Arkor.

Modalities are categorical constructs closely related to weak factorization systems. They play a particularly fundamental role in Homotopy Type Theory, where they are known as “n-truncations.” We will be looking at the notion of modality and truncation from a category-theoretic perspective, and then give some geometric examples in Homotopy Type Theory using Higher Inductive Types. No prior knowledge of algebraic topology and only a basic understanding of category theory is needed. Should be fun!

This talk is part of the Logic & Semantics for Dummies series.

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