3 problems

Let $\widehat{\mathfrak{g}}$ be an affine Lie algebra, and let ${}^{\rm L}\widehat{\mathfrak{g}}$ denote its Langlands dual. Affine Gaudin models have local and non-local commuting…

Let $\widehat{\mathfrak{g}}$ be an affine Lie algebra and let … For $\mathfrak{g}=\mathfrak{sl}(2)$, affine opers are represented by functions $v(z)$ in differential operators … Th…

For a Kac–Moody algebra ${\mathfrak g}$ of finite type, let ${{}^L\!{\mathfrak g}}$ be its Langlands dual. Frenkel–Feigin conjecture. Affine opers and affine Miura opers should enc…