In this talk I will outline the program to understand quantization and reduction from a more conceptual point of view: one main objective is to find relations between categories of modules before and after reduction. The notion of a coisotropic triple will allow for a fairly general reduction scheme and modules over a coisotropic triple allow for reduction as well. I will discuss the basic examples from deformation quantization of Marsden-Weinstein reduction. The whole project is still very much work in progress. It is a joint work with Marvin Dippell and Chiara Esposito.