  Globular clusters are relics of the early Universe and they hold clues to
many aspects of stellar and galactic evolution. We propose to point the Roman
Space Telescope at one or more clusters either as a part of or as an extension
of the Galactic Bulge Time Domain Survey. This would provide a unique
opportunity to apply the powerful toolkit of asteroseismology to a globular
cluster, an observation that is largely out of reach for any other time-domain
photometric missions. In this white paper we present the possible targets in
the vicinity of the notional survey fields. Potential science cases include
precise determination of stellar parameters throughout the cluster, accurate
estimation of the integrated mass loss for metal-poor and metal-rich clusters,
asteroseismic analysis and mass estimation for RR Lyrae stars, and
determination of the seismic ages of clusters. We provide comparisons with
other photometric missions and recommendations for maximizing the scientific
return from a dedicated globular cluster observing run.
