  We study some aspects of the de Sitter version of Jackiw-Teitelboim gravity.
Though we do not have propagating gravitons, we have a boundary mode when we
compute observables with a fixed dilaton and metric at the boundary. We compute
the no-boundary wavefunctions and probability measures to all orders in
perturbation theory. We also discuss contributions from different topologies,
borrowing recent results by Saad, Shenker and Stanford. We discuss how the
boundary mode leads to gravitational corrections to cosmological observables
when we add matter. Finally, starting from a four dimensional gravity theory
with a positive cosmological constant, we consider a nearly extremal black hole
and argue that some observables are dominated by the two dimensional nearly de
Sitter gravity dynamics.
