6 problems

Separating-set conjecture. The following are equivalent:

Let $\operatorname{\mathfrak{q}}$ be a parabolic contraction, and let $\Lambda$ be the semigroup of weights of its semi-invariant algebra…

Let $\operatorname{\mathfrak{q}}^C$ be a standard parabolic contraction in type $C$, and let $\operatorname{Sy}(\operatorname{\mathfrak{q}}^C)$ denote its algebra of semi-invariant…

Factorization conjecture. There is a decomposition

Let $\operatorname{\mathfrak{q}}^C$ be a parabolic contraction in type $C$, and let $\operatorname{\mathfrak{q}}^C_\Lambda$ denote its canonical truncation. Write…

Generation conjecture for orthogonal semi-invariants. The ring $OSI(Q,\beta)$ is generated by the semi-invariants