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We discuss certain effective improvements on superrigidity for$SL_n(\mathbb{Z})$ for finite $n>2$. Using these ideas we then usesuperrigidity to prove a representation stability theorem about pointwisefinite dimensional $VIC(\mathbb{Z})$-modules, which itself can be viewed as asuperrigidity theorem for $VIC(\mathbb{Z})$ and $GL_\infty(\mathbb{Z})$

Effective and Infinite-Rank Superrigidity in the Context of Representation Stability