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Résumé |
Systems of Calogero-Moser type are integrable N-particle systems associated with root systems. They are
connected to a great many subfields of pure and applied mathematics, and also find applications in various
areas of physics.
In this lecture we aim to survey this class of systems associated with $A_{N-1}$ and $BC_N$. We mostly deal
with the highest level in a hierarchy we shall specify. This top level can be characterised by the catchwords
`quantum’, `elliptic’ and `relativistic’. The search for joint eigenfunctions of the $N$ commuting operators
has led to a novel and very promising tool, namely so-called kernel functions. We shall also discuss this
notion in some detail. |
