**Bulk Conformal Geometry and Solutions to Proca Systems**

Abstract:

Replacing Riemannian geometry with conformal geometry gives a
simple characterization of Einstein's equations and a clean description
of how physical systems couple to scale. Furthermore, boundary and
bulk physics can be unified in a way that uncovers hidden solution
generating symmetries. We apply these ideas to the concrete example
of higher form Proca systems in general Einstein backgrounds and show
how to solve these systems with boundary data along a conformal infinity.