4 problems

Let $Y(K)$ be the arithmetic manifold, let $E$ be the coefficient field, and let $M_{\mathrm{coad}}$ be the coadjoint motive with its integral model $(M_{\mathrm{coad}})_\mathbb Z$…

Let $K$ be the level, let $\mathfrak m$ be the maximal ideal associated to $\pi$, and let … with $f\in H^*(Y(K),E)_\mathfrak m$. Galatius--Venkatesh compatibility conjecture. The d…

Let $\rho_\pi$ be the Galois representation from the paper's Galois representation conjecture, let $\mathfrak m$ be the corresponding ordinary Hecke ideal, and let $\Phi$ be the ma…

Let $\pi$ be as in the paper, let $\mathrm T(\mathbb Z_p)_p$ be the relevant torus quotient, let $Y_{1,1}$ be the arithmetic manifold, and let $\rho_\pi$ be its conjectural Galois…