Title: Embedding theorem for affine tangent categories.
Abstract: Affine tangent categories were introduced by Blute, Cruttwell and Lucyshyn-Wright to model the category of affine manifolds and affine mappings. In this talk, we show that every affine tangent category embeds into an affine tangent category with a tensor representable tangent structure.
Joint work with Jonathan Gallagher and Rory Lucyshyn-Wright.