  The dynamics of warped/flux compactifications is studied, including warping
effects, providing a firmer footing for investigation of the "landscape." We
present a general formula for the four-dimensional potential of warped
compactifications in terms of ten-dimensional quantities. This allows a
systematic investigation of moduli-fixing effects and potentials for mobile
branes. We provide a necessary criterion, "slope-dominance," for evading
"no-go" results for de Sitter vacua. We outline the ten-dimensional derivation
of the non-perturbative effects that should accomplish this in KKLT examples,
and outline a systematic discussion of their corrections. We show that
potentials for mobile branes receive generic contributions inhibiting slow-roll
inflation. We give a linearized analysis of general scalar perturbations of
warped IIB compactifications, revealing new features for both time independent
and dependent moduli, and new aspects of the kinetic part of the
four-dimensional effective action. The universal Kahler modulus is found_not_
to be a simple scaling of the internal metric, and a prescription is given for
defining holomorphic Kahler moduli, including warping effects. In the presence
of mobile branes, this prescription elucidates couplings between bulk and brane
fields. Our results are thus relevant to investigations of the existence of de
Sitter vacua in string theory, and of their phenomenology, cosmology, and
statistics.
