Title: The fast Weil to go Faa (with Ben MacAdam)
Abstract:
This talk will introduce the notion of a tangent complex in an arbitrary category. We will then use tangent complexes to show that tangent categories are precisely coalgebras of a comonad. We will then show how to reconstruct the Faa di Bruno construction as a subconstruction of the cofree tangent category, and we will not require any combinatorics to do this.