What is it Like to be a Lax Double Functor? - Understanding Category Theory Models

Explore the mathematical concepts of double theories and their models in this Berkeley seminar presentation. Delve into how families of categories serve as models for double theories, despite definitions suggesting similarities to presheaf-like families of sets. Learn about CatColab's implementation of families of sets existing over categorical families, known as instances of models of double theories. Gain insights into these emerging mathematical concepts that, while novel, are presented in an accessible manner and are poised to become significant in the field.