In this talk, I will
relate moduli stabilization in AdS or de Sitter space to basic properties of
the Wilsonian action in the holographic dual theory living on dS (of one lower
dimension): the single-trace terms in the action have vanishing beta
functions, and higher-trace couplings are determined purely from lower-trace
ones (a property we refer to as the iterative structure of RG). In the dS
case, this encodes the maximal symmetry of the bulk spacetime in a quantity
which is accessible within a single observer's patch.