The Torelli-to-IA generation conjecture

Let $\mathcal{I}_{g,1}$ be the Torelli group of a genus-$g$ surface with one boundary component, let $\operatorname{IA}_{2g}$ be the IA-automorphism group of a free group of rank $2g$, and let $\iota_*^A$ be the map on Albanese homology induced by the standard inclusion. The Torelli-to-IA generation conjecture. For $g\ge3i$, the image

$$\iota_*(H^A_i(\mathcal{I}_{g,1},\mathbb{Q}))$$

generates $H^A_i(\operatorname{IA}_{2g},\mathbb{Q})$ as a $\operatorname{GL}(2g,\mathbb{Q})$-representation. The source proposes this as a conjectural description of the image; it remains open.