  We construct various limits of JT gravity, including Newton-Cartan and
Carrollian versions of dilaton gravity in two dimensions as well as a theory on
the three-dimensional light cone. In the BF formulation our boundary conditions
relate boundary connection with boundary scalar, yielding as boundary action
the particle action on a group manifold or some Hamiltonian reduction thereof.
After recovering in our formulation the Schwarzian for JT, we show that
AdS-Carroll gravity yields a twisted warped boundary action. We comment on
numerous applications and generalizations.
