4 problems

Let $\Gamma$ be a directed graph, let $X(SU(2),\Gamma)$ be its graphical configuration space, and let $\overline{\operatorname{OT}}(\Gamma)$ be the reduced Orlik–Terao algebra asso…

Generalized Hamming weight lower-bound conjecture. For every $1\leq r\leq k$, one has

Ungraded Orlik–Terao representation conjecture. There exists an isomorphism of $S_n$-representations

The graph-generalized Orlik–Terao conjecture. For any simple connected graph $\Gamma$, there exists an isomorphism