In this talk I will explain some recent efforts that aim to understand the rules of the game for observables on the future boundary of dS space.
Unlike in AdS, the boundaries of dS space are purely spatial with no standard notion of locality and time. This obscures how the boundary observables capture
a consistent picture of unitary time evolution in the interior of dS space. I will explain how, despite this difference, the structural similarities between dS and AdS spaces
allow to draw relations between boundary correlators in these two space-times. This can be used to import techniques, results and understanding from AdS to dS.