Commutative monads, distributions, and differential categories
- đ¤ Speaker: Anders Kock, Aarhus, Denmark
- đ Date & Time: Tuesday 20 November 2012, 14:15 - 15:15
- đ Venue: MR5, Centre for Mathematical Sciences
Abstract
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.
Series This talk is part of the Category Theory Seminar series.
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Anders Kock, Aarhus, Denmark
Tuesday 20 November 2012, 14:15-15:15