Applications of Galois Theory to Mackey functors and equivariant homotopy theory
by
L Gaunce Lewis
Syracuse University

The category of Mackey functors is a symmetric monoidal closed category which is used in both representation theory and equivariant homotopy theory. In particular, equivariant ordinary homology theories use Mackey functors rather than abelian groups as coefficients. Often in nonequivariant topology, one uses homology with field coefficients to reduce the homological problems encountered in doing computations. Galois theory plays an important role in identifying the Mackey functor equivalent of field coefficients. In this talk, that application of Galois theory will be described, and some open questions will be presented.

Date received: May 28, 2002

Copyright © 2002 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cajf-29.