  Local cohomology techniques in equivariant homotopy theory, introduced by
John Greenlees, may be applied to understand homology of classifying spaces
through other equivariant data. In this paper we relate the local cohomology
filtration to the families filtration. By doing so, we may identify geometry
codified by the local cohomology filtration in the setting of equivariant
bordism. The constructions which arise are naturally analyzed by localized
K-theory machinery due to Atiyah and Segal, which we review.
