Transport of Zariski density in compatible collections of $G$-representations

Jake Huryn, Yifei Zhang

Let $X$ be a connected normal scheme of finite type over $\mathbf{Z}$, let $G$ be a connected reductive group over $\mathbf{Q}$, and let $\{ρ_\ell\colonπ_1(X[1/\ell])\to G(\mathbf{…