\title{Module categories for finite group algebras} \author{Dave Benson, Srikanth B. Iyengar and Henning Krause} \contact{Dave Benson, University of Aberdeen, UK \\ Srikanth B. Iyengar, University of Nebraska, USA \\ Henning Krause, Universit\"at Bielefeld, DE} \begin{document} \begin{abstract} This survey article is intended as an introduction to the recent categorical classification theorems of the three authors, restricting to the special case of the category of modules for a finite group. \end{abstract}