Jørgensen's strong convergence conjecture

Let $M$ be the fixed manifold parametrizing the deformation space ${\mathcal D}(M)$. A sequence $\rho_i\to\rho$ is type-preserving if parabolic elements are preserved throughout the sequence, and convergence is strong when the corresponding geometric and algebraic limits agree. Jørgensen's strong convergence conjecture. If $\rho_i\to\rho$ is a type-preserving sequence in ${\mathcal D}(M)$ with limit $\rho$, then $\rho_i$ converges strongly to $\rho$. The conjecture is presented as an undercurrent to the paper and as related to persistence of tameness under strong convergence. No resolution is stated in the provided text.