Tate (co)homology over associative rings

Speaker: Lars Christensen, Texas Tech University

ABSTRACT: Tate (co)homology was originally defined for modules over
group algebras. The cohomological theory has a very satisfactory
generalization---known as Tate--Vogel cohomology or stable cohomology
or P-complete cohomology---to the setting of associative rings. The
properties of the corresponding generalization of the homological
theory are have hitherto been poorly understood; I will report on
recent progress in this direction.