  Recent models of axion monodromy inflation in string theory link the
inflationary potential and the moduli stabilization potential. Realistic
inflationary models require mechanisms to moderately suppress the inflaton mass
with respect to the moduli stabilization scale. In this paper we explore the
realization of this idea using warped throats, whose redshifted infrared region
supports the inflaton mode. The inflaton potential and its monodromy arise from
couplings to the fluxes supporting the throat. We provide explicit realizations
of such throats in type IIB with NSNS and RR 3-form field strength fluxes, and
in type IIA with RR 2-form fluxes. Once embedded in a global CY, these systems
would provide a mechanism to realize chaotic inflation at scales parametrically
suppressed with respect to bulk physics. The construction of the throats is
systematically carried out using geometric transitions in systems of D-branes
at singularities, whose properties and dynamics are efficiently encoded using
dimer diagrams. The holographic dual of the axion monodromy is a quasi-periodic
chain of Seiberg dualities.
