"Formation of the Biggest Galaxies in the Universe: Winds and Shocks from Black Holes in the Centers of Clusters of Galaxies." I will discuss the connection between the supermassive black holes that grow in the centers of the most massive galaxies in the universe and their host cluster of galaxies. The X-ray-emitting atmosphere in a cluster of galaxies -- the hot gas between the galaxies, bound to the cluster by gravity -- holds many clues about the nature of the energy emerging from the region surrounding the central supermassive black hole. This relationship may be the answer to many questions about how galaxies form, why supermassive black holes get bigger in bigger hosts, and how diffuse gas behaves in gravitational potentials of dark matter halos that have a quadrillion times the mass of the sun.