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Commutative monads, distributions, and differential categories

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If you have a question about this talk, please contact Julia Goedecke.

We describe the relationship between the theory of commutative monads on a cartesian closed category, and distribution theory (in the sense of Schwartz) inside this category. Recent work of Lucyshyn-Wright shows that there are many commutative monads where the notions agree. – We also indicate how differential categories grow out of suitable commutative monads.

The only data assumed for the theory presented is: a strong monad on a cartesian closed category. All the rest depend on properties of this monad, not on any further structural data.

This talk is part of the Category Theory Seminar series.

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