3 problems

Let $P$ be the poset shown in Figure, and let $G(P)$ be its associated graph. Consider the coefficient-free $R$-system associated with $G(P)$. A strong $\tau$-sequence and the sing…

Octagon-poset tau-sequence conjecture. For each octagon poset $P$, the $R$-system associated with $G(P)$ admits a strong $\tau$-sequence consisting of irreducible Laurent polynomia…

Singularity confinement conjecture. Singularity confinement holds generically on $X_S$ unless