By Pavel Etingof
Calogero-Moser platforms, which have been initially stumbled on through experts in integrable structures, are at present on the crossroads of many parts of arithmetic and in the scope of pursuits of many mathematicians. extra particularly, those structures and their generalizations became out to have intrinsic connections with such fields as algebraic geometry (Hilbert schemes of surfaces), illustration conception (double affine Hecke algebras, Lie teams, quantum groups), deformation conception (symplectic mirrored image algebras), homological algebra (Koszul algebras), Poisson geometry, and so on. The aim of the current lecture notes is to provide an advent to the idea of Calogero-Moser structures, highlighting their interaction with those fields. because those lectures are designed for non-experts, the writer supplies brief introductions to every of the themes concerned and gives a couple of workouts. A booklet of the ecu Mathematical Society (EMS). allotted in the Americas by means of the yank Mathematical Society.
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