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Calogero–Moser systems and representation theory
Zurich Lectures in Advanced Mathematics

Pavel Etingof (Massachusetts Institute of Technology, Cambridge, USA)

Calogero–Moser systems and representation theory

ISBN print 978-3-03719-034-0, ISBN online 978-3-03719-534-5
DOI 10.4171/034
March 2007, 101 pages, softcover, 17.0 x 24.0 cm.
28.00 Euro

Calogero–Moser systems, which were originally discovered by specialists in integrable systems are currently at the crossroads of many areas of mathematics and within the scope of interests of many mathematicians. More specifically, these systems and their generalizations turned out to have intrinsic connections with such fields as algebraic geometry (Hilbert schemes of surfaces), representation theory (double affine Hecke algebras, Lie groups, quantum groups), deformation theory (symplectic reflection algebras), homological algebra (Koszul algebras), Poisson geometry, etc. The goal of the present lecture notes is to give an introduction to the theory of Calogero–Moser systems, highlighting their interplay with these fields. Since these lectures are designed for non-experts, we give short introductions to each of the subjects involved, and provide a number of exercises.

The book will be suitable for mathematics graduate students and researchers in the areas of representation theory, noncommutative algebra, algebraic geometry, and related areas.

Further Information

Review in MR 2296754 (2009k:53217)

Review in Zentralblatt MATH 05131085