Integrable systems whose spectral curve is the graph of a function Kanehisa Takasaki
(takasaki@math.h.kyoto-u.ac.jp)
Abstract Usually, the spectral curve of a finite-dimensional integrable system is a multiple covering of another Riemann surface (typically a sphere). There are some exceptional cases, such as the open Toda chain and the rational or trigonometric Calogero-Moser systems, where the spectral curve becomes a simple covering, in other words, the graph of a function z = A(lambda). I will present a few results on separation of variables for integrable systems of this type, and possible generalizations thereof. |