  We consider two-dimensional geometries flowing away from an asymptotically
AdS$_2$ spacetime. Macroscopically, flow geometries and their thermodynamic
properties are studied from the perspective of dilaton-gravity models. We
present a precise map constructing the fixed background metric from the
boundary two-point function of a nearly massless matter field. We analyse
constraints on flow geometries, viewed as solutions of dimensionally reduced
theories, stemming from energy conditions. Microscopically, we construct
computationally tractable RG flows in SYK-type models at vanishing and
non-vanishing temperature. For certain regimes of parameter space, the flow
geometry holographically encoding the microscopic RG flow is argued to
interpolate between two (near) AdS$_2$ spacetimes. The coupling between matter
fields and the dilaton in the putative bulk is also discussed. We speculate on
microscopic flows interpolating between an asymptotically AdS$_2$ spacetime and
a portion of a dS$_2$ world.
