Motivic zeta-function rationality conjecture

Let $k$ be a field, let $X$ be a variety over $k$, and let ${\mathcal M}_k$ denote the relevant localization of the Grothendieck ring of varieties. Let $Z_{\rm mot}$ be the motivic zeta series attached to $X$. Motivic zeta-function rationality conjecture. The series $Z_{\rm mot}$ is rational in ${\mathcal M}_k[[T]]$. This conjecture proposes rationality after passing from the Grothendieck ring to its localization, despite the preceding non-rationality result in $K_0(\operatorname{Var}_k)[[T]]$.