5 problems

Dual Baxter-spectrum conjecture. The spectrum of $t(z)$, and simultaneously that of $T(Z)$, is described by all solutions of these equations such that: $t(z)$ and $T(Z)$ are polyno…

Let $\mathbf{q}(\zeta)$ be an eigenvalue of the commuting Baxter operator $\boldsymbol{\mathcal{Q}}(\zeta)$, satisfying the Baxter equation … Normalize $t_{g+1}=(-1)^{g+1}2$, so th…

Let $A$ be a Poisson algebra with center $Z$, and let $M$ be the maximal Poisson-commutative subalgebra generated by the spectral invariants of a Lax operator $L(z)$. Let $A_q$ be…

Let $G$ be a simply laced group, let $T_j(z)$ be a canonical coordinate of a $(G,q)$-oper, and let $Q^i_+(z)$ and $\Lambda_i(z)$, for $i=1,\ldots,r$, be the corresponding polynomia…

Let $G$ be a simply laced simply connected simple complex Lie group, let $Q^i_+(z)$ be the associated polynomials, and let the canonical coordinates of a $(G,q)$-oper be defined as…