2 problems

Size-2 boundary characterization conjecture. A positive matrix $M$ is on the topological boundary of $\mathcal{M}_{3,2}^{p \times q}$ if and only if any one of the conditions in th…

The 1-trivial-motion conjecture. The set of $1$-trivial motions of size-$k$ psd factorizations of matrices in $\mathcal{M}_{\binom{k+1}{2},k}^{p \times q}$ is equal to…