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Categorical structure for conditional independence

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Conditional independence is an important relation in probability, statistics and several application areas. In this talk, I shall identify category-theoretic structure which captures the main properties of conditional independence. The structure in question arises in many contexts other than probability, including nominal sets, computability theory and group theory. While the talk will mainly focus on general properties and examples, I shall end with a purely category-theoretic application: a characterisation of sheaves for the atomic (Grothendieck) topology.

This talk is part of the Category Theory Seminar series.

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