2 problems

Generation conjecture. The holonomic $\mathcal{D}$-ideal of rank $2^{\ell+1}-1$ for the $\ell$-loop banana integral is generated by these $\ell+3$ operators.

Banana-integral bilinear-relations conjecture. All global bilinear relations among the maximal cuts for $l$-loop banana integrals follow from Griffiths transversality.