  After reviewing some experimental facts, and early theories, I sketch the
Hartree-Fock description of Boson solids, emphasizing the contrast with the
Fermion case in that the natural solution is a product of local wave-functions.
I then investigate the Boson Hubbard model to demonstrate that the local
functions are not orthogonal and exemplify a novel state of matter which has
superflow but not ODLRO, below a cooperative thermal transition. I then discuss
whether or not these ideas actually apply to solid He.
