Quantum Painlevé monodromy manifolds and Sklyanin–Painlevé algebra, II

In this talk, I will study the generalised Sklyanin–Painlevé algebra and characterise its PBW/PHS/Koszul properties. This algebra contains as limiting cases the generalised Sklyanin algebra, Etingof–Ginzburg and Etingof–Oblomkov–Rains quantum del Pezzo as well as the quantum monodromy manifolds of the Painlevé equations.