3 problems

Let $R_K^{\rm p}$ be the category of polarized realizations, and let $\mathcal V=(V_{\rm DR},(V_l)_l,(V_\sigma)_\sigma,I_{\infty,\sigma},I_{l,\bar\sigma})$ be a pure polarized real…

Second Tate conjecture. The set $\operatorname{Hom}(M,N)$ is in bijection with the set of pairs $(a,b)$ where $a:M_{\ell}\to N_{\ell}$ is a morphism and $b:M_B\to N_B$ is a homomor…

Independence-of-realizations conjecture. Restriction of realizations induces equivalences of categories