4 problems

Minimum-dimension box-center conjecture. If the data $\boldsymbol l,\boldsymbol d,\boldsymbol s$ are determinantal, then determinantal degree vectors of minimum matrix dimension li…

Multigroup center conjecture. For $r>1$, a similar explicit choice of a minimum-dimension formula exists, namely one obtained from the centers of the relevant determinantal boxes.

Box-center conjecture. Minimum-dimension formulae appear near the centers of these boxes.

Center conjecture. A formula of minimum dimension should be recoverable from the centers of the determinantal boxes, analogously to the homogeneous case.