Accelerator Physics and Technologies for Muon Colliders

An accelerator complex that can produce ultra-intense beams of muons presents many opportunities to explore new physics. These facilities are unique in that, in a relatively straightforward way, they can present a physics program that can be staged and thus move forward incrementally, addressing exciting new physics at each step. Ultimately an intense cooled low-energy muon source could be accelerated to very-high energy to do energy-frontier physics with a muon collider. This talk will give an introduction to the physics capabilities of a muon collider, outline the accelerator physics of the facility and will then explore some of the limiting technologies that must be developed in order to make this ``concept'' a reality.