6 problems

Let ${\mathfrak{g}}$ be a semisimple Lie algebra, let $Y({\mathfrak{g}})$ be its Yangian, and let $M_{\mathfrak{g}}$ be the De Concini–Procesi compactification of the regular part…

Distinctness conjecture. Distinct points of $X_\Phi$ correspond to distinct limit commutative subalgebras in the Yangian $Y(\mathfrak g)$.

Let $\overline{M_{0,n+2}^{comp}}$ be the compact real moduli space, and let the eigenlines of Bethe subalgebras on a tensor product of Kirillov–Reshetikhin representations form the…

Let $X\in\overline{M_{0,n+2}}$ and let $B(X)$ be the corresponding Bethe subalgebra of $Y(\mathfrak{gl}_n)$. A representation of $Y(\mathfrak{gl}_n)$ is tame if it has the form…

Let $Z$ be the scheme parameterizing limit Bethe subalgebras, let $\overline{G}$ be the wonderful compactification of $G$, and let $\tilde{Z}$ be the closure of $G^{reg}$ in…

Let $z_1,\ldots,z_k$ be real parameters satisfying … Let $L(z_1,\ldots,z_k)$ and $L'(z_1,\ldots,z_k,\cdot)$ denote the modules used in the paper's restriction and multiplicity-spac…