  We give an overview of the parts of arXiv:2004.04279 that deal with
2-categories, up to and including adjunction, and explain how the Segal-type
approach to 2-categories adopted there is related to the more standard
approaches. As an application, we construct the derived Morita and the
Fourier-Mukai 2-categories over a Noetherian ring, and show how to embed one
into the other.
