01659nam a2200205Ia 4500 CTU_134018 210402s9999 xx 000 0 und d 1293000 512.4 E.83 Etingof, Pavel Calogero-Moser systems and representation theory Pavel Etingof Germany European Mathematical Society 2007 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. Representations of rings (Algebra),Associative algebras,Chuỗi số,Liên kết đại số học Trọng Hải Trung tâm Học liệu Trường Đại học Cần Thơ