6 problems

Noncompact extension conjecture. The isomorphism of Theorem also holds for such noncompact $X$ and $G$.

Let $M(1)$ be the rank-$\ell$ Heisenberg vertex operator algebra, let $S_{\ell}$ act on it by permuting a basis $h_1,\dots,h_{\ell}$ of the underlying space, and let…

Let $p$ be the parameter of the $D_2$ identity, let $t$ be an indeterminate, and let $\operatorname{Res}_{x_0,x_1,x_2,x_3,x_4}$ denote the iterated residue in the displayed variabl…

Let $m>2$, let $p$ be the parameter of the $D_m$ identity, let $t$ be an indeterminate, and let $\operatorname{Res}_{x_0,x_1,\ldots,x_{m+2}}$ denote the iterated residue in the dis…

Let $m$ and $p$ be the parameters of the $A_m$ constant-term identity, let $t$ be an indeterminate, and let $\operatorname{Res}_{x_0,x_1,\ldots,x_{m+1}}$ denote the iterated residu…

Let $h_{p,m}(t)$ and $\tilde{h}_{p,m}(t)$ be the polynomials defined by the factorizations of the residue polynomials $H_{p,m}(t)$ and $\tilde{H}_{p,m}(t)$ for the $D_m$ orbifold v…