**"What is...a collection of homotopy random variables?"**

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**Abstract:**

Homotopy probability theory is a theory extending ordinary probability theory by replacing the vector space of random variables by a chain complex. In order to have meaningful, homotopy invariant statistics, the notion of random variable must be refined. The talk begins by introducing the basic ideas of homotopy probability theory and ends by defining which subsets of the chain complex constitute a collection of homotopy random variables. The talk follows the first few sections of the paper Homotopy probability theory on a Riemannian manifold and the Euler equation: http://nyjm.albany.edu/j/2017/23-46.html