The motivated de Rham–Betti conjecture

Let $M$ be an André motive over $K$, and let $Z_M$ be the Zariski closure of its comparison isomorphism, $\Omega_M$ the smallest $K$-subtorsor generated by that comparison, $\Omega_M^{\mathrm{dRB}}$ the torsor of de Rham–Betti periods, and $\Omega_M^{\mathrm{And}}$ the torsor of motivated periods. The motivated de Rham–Betti conjecture. The inclusions

$$Z_M\subseteq\Omega_M\subseteq\Omega_M^{\mathrm{dRB}}\subseteq\Omega_M^{\mathrm{And}}$$

are equalities. This is the motivated version of Grothendieck's period conjecture for André motives; the source states that the general conjecture is unresolved.