6 problems

Let a Lie algebra be given, together with its KZ differential equations and the associated dynamical difference equations. Consider hypergeometric integrals that satisfy the KZ equ…

Let ${{\frak g}\,}$ be a simple Lie algebra, and consider the dynamical difference equations and the trigonometric KZ differential equations constructed for ${{\frak g}\,}$. Compat…

Let ${{\frak g}\,}$ be a Lie algebra, let $\la\in{{\frak h\,}}$ with {{\frak h\,}}\subset{{\frak g}\,}} the Cartan subalgebra, and consider the trigonometric KZ differential equa…

Let $Lambda1$ and $Lambda2$ be generic weights, and let $s^0$ and $s^1$ be solutions of the system … Let $mathcal S=mathcal S{lambda1}timescdotstimesmathcal S{lambdar}$ act on t…

Let $\Psi$ be the wave function associated with the trigonometric Gaudin model, and let $g_a^{(\alpha)}$ be the eigenvalues of the trigonometric Calogero Lax matrix arranged in str…

Let $\Psi=\langle\Omega\mid\Phi\rangle$ be the wave function obtained from a solution of the KZ equations, and let $\hat{\cal H}_k$ denote the higher Calogero Hamiltonians. Suppose…