9 problems

Central-extension bounded-locality conjecture. The locality function $S_{\widehat{\goth L},\,\cal G\cup\cal M}$ is also uniformly bounded.

Conformal Ado conjecture. Every finite-type torsion-free Lie conformal algebra has a faithful module of finite type.

Finite-type enveloping algebra conjecture. Every finite-type Lie conformal algebra has a finite-type conformal associative enveloping algebra.

Classification conjecture. These three families exhaust all infinite-type irreducible Lie conformal subalgebras of $\mathop {\fam 0 gc}\nolimits_N$, up to conjugation by an automor…

Kac's conformal Burnside conjecture. Every infinite irreducible subalgebra of $\mathfrak{gc}_N$ is conjugate to one of the following subalgebras:

Let $M_{\Delta,\alpha}$ and $M_{\Delta',\alpha'}$ be rank-one modules over the Lie conformal algebra under consideration, and let $m_{1-\Delta,-\alpha}$ and…

Let $M$ and $N$ be modules over a Lie conformal algebra, with conformal duals $M^{*_c}$ and $N^{*_c}$. Let $M^{*_c}_0$ and $N^{*_c}_0$ be generators such that … Suppose the submodu…

Let $R$ be a Lie conformal algebra, and let $\mathcal{R}$ be a vertex manifold. Write $\operatorname{Conf}(\mathcal{R})$ for the Lie conformal algebra associated with $\mathcal{R}$…

Specialness conjecture. For every Novikov algebra $V$, the commutator GD-algebra $V^{(-)}$ is special.