  We consider the probability distribution for fluctuations in dynamical action
and similar quantities related to dynamic heterogeneity. We argue that the
so-called "glass transition" is a manifestation of low action tails in these
distributions where the entropy of trajectory space is sub-extensive in time.
These low action tails are a consequence of dynamic heterogeneity and an
indication of phase coexistence in trajectory space. The glass transition,
where the system falls out of equilibrium, is then an order-disorder phenomenon
in space-time occurring at a temperature T_g which is a weak function of
measurement time. We illustrate our perspective ideas with facilitated lattice
models, and note how these ideas apply more generally.
