3 problems

Assume $n\geqslant m$, with $\kappa_c$ the critical level, and let $\mathfrak{z}$ denote the commutative center. Let $\mathcal{A}^m_{\mathrm{deg}}$ be the degenerate $\beta\gamma$-…

Assume $n\geqslant m$, and let $\kappa_c$ denote the critical level. Let $\mathcal{A}^m_{\mathrm{deg}}$ be the degenerate $\beta\gamma$-system associated with…

Frenkel–Gaitsgory conjecture. The category $\KLlam$ is semisimple for every $\slam\in \bar P^+$, and, for each $\lambda\in \Paf{\operatorname{crit}}$, there is an isomorphism