  We introduce a notion of inertial equivalence for integral $\ell$-adic
representation of the Galois group of a global field. We show that the
collection of continuous, semisimple, pure $\ell$-adic representations of the
absolute Galois group of a global field lifting a fixed absolutely irreducible
residual representation and with given inertial type outside a fixed finite set
of places is uniformly bounded independent of the inertial type.
