3 problems

Let $\mathfrak{g}$ be a Lie algebra with automorphism $\sigma$, let $\bm z$ denote the sites, and let $\mathcal{Z}^{\sigma}_{\bm z}(\mathfrak{g})$ be the cyclotomic Gaudin algebra.…

Let $\lambda_0\in\mathfrak{h}^{*,\nu}$ be the dominant $\nu$-invariant weight satisfying $\langle\check\alpha_i,\lambda_0\rangle\in\mathbb{Q}$ for all $i\in I$. Let…

Let each cyclotomic Miura ${}^L\mathfrak{g}$-oper $\nabla$ have residues $-\lambda_i\in\mathfrak{h}^*$ at $z_i$ for $i=1,\ldots,N$, $-\lambda_0\in\mathfrak{h}^{*,\nu}$ at the origi…