AbstractWe review our results on bi-Hamiltonian structures of trigonometric spin Sutherland models builton collective spin variables. Our basic observation was that the cotangent bundle T'*U(n) and itsholomorphic analogue T'*GL(n, C), as well as T"*GL(n, C)k, carry a natural quadratic Poissonbracket, which is compatible with the canonical linear one. The quadratic bracket arises by changeof va...
The workshop on integrable systems is aiming to bring experts in both classical and quantum integrable systems together, to share their most recent work. The goal is to consolidate local expertise, and to bring experts outside of Beijing area. Various interesting topics will be discussed, including Toda systems, open spin chains, Painlevé type equations and applications. The workshop will be he...