4 problems

Equivalence conjecture. Any stack of $\mathbb{C}_X$-twisted $\mathcal{D}_X$-modules is $\mathbb{C}$-equivalent to a stack of the form

Let $V$ be a simple affine vertex algebra associated with one of the Lie algebras in the $\mathrm{DC}$ series … at level $-h^{\vee}/6-1$. Let $\chi^{\mathrm{twi}}(q)$ denote a norm…

Inner-automorphism invariance conjecture. There is a one-to-one correspondence between the simple objects in the category of lower bounded logarithmic $g$-twisted modules and the s…

Let $V$) be a vertex operator superalgebra and let $k$ be an even positive integer. Consider weak, weak admissible, ordinary, parity-stable, and parity-unstable modules for the cyc…