4 problems

Let multiple elliptic beta integrals be integral evaluations associated with root systems, and let Calogero–Sutherland type models be the corresponding integrable Hamiltonian syste…

The higher circular Calogero–Sutherland eigenvalue conjecture. For every $p\in\mathbb{N}$,

Bernard–Yang explicit formula conjecture. The coefficients are given by

Large-coupling level-spacing conjecture. For $\overline\beta\gg N$, the eigenvalues cluster around an equally spaced set of levels of the form $j\,\overline\beta$, with…