Group cohomology has a rich history that goes back a century or more. Its origins are rooted in investigations of group theory and num- ber theory, and it grew into an integral component of algebraic topology. In the last thirty years, group cohomology has developed a powerful con- nection with finite group representations. Unlike the early applications which were primarily concerned with cohomology in low degrees, the in- teractions with representation theory involve cohomology rings and the geometry of spectra over these rings. It is this connection to represen- tation theory that we take...