Author: Peter Webb Address: School of Mathematics, University of Minnesota, Minneapolis MN 55455 Title: Weight theory in the context of arbitrary finite groups Abstract: This paper is an account of a lecture given August 9, 2002 at the Fields Institute, and is expository in nature. Many constructions which arise in the study of Mackey functors bear a similarity to certain constructions in Lie theory. We survey these similarities and indicate applications to the computation of group cohomology and the stable decomposition of classifying spaces, as well the connection with Alperin's weight conjecture. Journal: Fields Institute Communications 40 (2004), 277-289.