Title: "Invariant conserved currents in gravity theories with local Lorentz and diffeomorphism symmetry"

We discuss conservation laws for gravity theories invariant under general coordinate and local Lorentz transformations. We propose a general definition of invariant conserved for these theories. We show that every vector field generates, in any spacetime dimension, for any Lagrangian of gravitational plus matter fields and for any (minimal or nonminimal) type of interaction, an invariant conserved current, which can be written on-shell in terms of an invariant superpotential. We apply the general method to compute the total energy and angular momentum of exact solutions in several gravitational models.