4 problems

Let $D$ be the ring of differential operators, let $f$ and $g$ be the functions under consideration, and let $I(s_1,s_2)$ be the ideal defined in the paper. Write $I(s,s)$ for its…

Minimal-generator conjecture. If $d$ is odd, then $\operatorname{Ann}(H_{2d+1})$ has no minimal generators in degree $d+2$, and

Suppose that $\mathfrak{g}=\mathfrak{g}_{\bar 0}$, let $\zeta\in\mathfrak n_{\bar 0}^+$ be generic, and let $\lambda$ be anti-dominant. Write $L(\lambda,\zeta)$ for the correspondi…

Let $\frak{g}=\frak{o}(\infty)$ or $\frak{sp}(\infty)$, and let $M$ be a finitely generated object of the large annihilator category $\cal{OLA}$. Annihilator conjecture. The annihi…