in 2012 it was conjectured by emerton and helm that the local langlands correspondence for $gl(n)$ of a $p$-adic field should interpolate in $\ell$-adic families, where $\ell$ is a prime different from $p$. recently, helm showed that the conjecture follows from the existence of an appropriate map from the integral bernstein center to a galois deformation ring. in this talk we will present recent work (joint with david helm) showing the existence of such a map and describing its image.