6 problems

Conjecture on $L_{k_m}(D_4)$. For each $m\geq1$, $L_{k_m}(D_4)$ is a quasi-lisse vertex algebra, it has a unique irreducible ordinary module, and $KL_{k_m}(D_4)$ is a semisimple br…

Let $\mathcal{C}_p$ be the vertex operator algebra considered in the paper. A vertex operator algebra is quasi-lisse when its associated variety has finitely many symplectic leaves…

Let … be a simple positively graded quasi-lisse vertex algebra with $V_0\cong\mathbb{C}$, and let $G$ be a finite solvable automorphism group of $V$. Adamović's conjecture. The fix…

Let $V$ be a simple quasi-lisse conformal vertex algebra, and let $X_V$ denote its associated variety. Arakawa–Moreau's conjecture. … The paper explains that the theorem proved the…

Duality conjecture. There exists a maximally extended multivalued analytic function $f(z_1,z_2;w_1,w_2,w_3,w_4)$ on

A vertex algebra $V$ is quasi-lisse when its associated variety $X_V$ has finitely many symplectic leaves. Let $\mathcal{C}_V^{\mathrm{ord}}$ be the category of ordinary $V$-module…