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A 2-dimensional bifunctor theorem

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If you have a question about this talk, please contact José Siqueira.

The Bifunctor Theorem appears as the first proposition in Categories for the Working Mathematician and gives conditions for when two families of functors can be combined into a bifunctor. This prompts us to consider an analogous result for pseudofunctors (or lax functors) between 2-categories. We will find that both distributive laws of monads and braidings of monoidal categories appear as special cases. I will also include a brief introduction to string diagrams, distributive laws and lax functors. This is based on joint work with Peter Faul and José Siqueira.

This talk is part of the Category Theory Seminar series.

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