Modular representation theory of profinite groups

A profinite group is the inverse limit of an inverse system of finite groups. While such groups are set-wise `big', the inverse system gives

profinite groups a close relationship with finite groups - a conduit through which important results can flow.

Our goal is to construct a modular representation theory for profinite groups. We show how several foundational results (about relative

projectivity, vertices, sources) from the established theory for finite groups can pass through an inverse system, to the limit.