  We discuss aspects of the holographic description of crunching AdS
cosmologies. We argue that crunching FRW models with hyperbolic spatial
sections are dual to semiclassical condensates in deformed de Sitter CFTs. De
Sitter-invariant condensates with a sharply defined energy scale are induced by
effective negative-definite relevant or marginal operators, which may or may
not destabilize the CFT. We find this result by explicitly constructing a
`complementarity map' for this model, given by a conformal transformation of
the de Sitter CFT into a static time-frame, which reveals the crunch as an
infinite potential-energy fall in finite time. We show that, quite generically,
the crunch is associated to a finite mass black hole if the de Sitter
O(d,1)-invariance is an accidental IR symmetry, broken down to U(1)xO(d) in the
UV. Any such regularization cuts off the eternity of de Sitter space-time.
Equivalently, the dimension of the Hilbert space propagating into the crunch is
finite only when de Sitter is not eternal.
