3 problems

Highest-weight extension conjecture. The additional parameters, namely the highest weights, correspond to the above-mentioned hypothetical extension of the dual space…

Feigin–Novikov conjecture. Every cocycle of the vector field algebra is cohomologous to a linear combination of geometric cocycles obtained by integration along the basis cycles in…

Let $\Sigma$ be the underlying compact Riemann surface of genus $g$, let $\mathfrak{g}$ be the finite-dimensional Lie algebra used to construct the affine Krichever–Novikov algebra…