ENGLISH

Calogero-Moser Systems and Representation Theory

By Pavel Etingof

Book information

Publisher
European Mathematical Society
Year
2007
ISBN
3037190345
Language
english
Format
PDF
Filesize
622 kB (636677 bytes)
Series
Zurich Lectures in Advanced Mathematics
Pages
102\102
Time added
2011-06-04 13:46:07

Description

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, the author gives short introductions to each of the subjects involved and provides a number of exercises. A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.

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