LEADER 02593nam 22004575a 450 001 9910151936803321 005 20091109150325.0 010 $a3-03719-534-7 024 70$a10.4171/034 035 $a(CKB)3710000000953807 035 $a(CH-001817-3)52-091109 035 $a(PPN)178155187 035 $a(EXLCZ)993710000000953807 100 $a20091109j20070303 fy 0 101 0 $aeng 135 $aurnn|mmmmamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aCalogero-Moser systems and representation theory$b[electronic resource] /$fPavel Etingof 210 3 $aZuerich, Switzerland $cEuropean Mathematical Society Publishing House$d2007 215 $a1 online resource (101 pages) 225 0 $aZurich Lectures in Advanced Mathematics (ZLAM) 330 $aCalogero-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. 606 $aGroups & group theory$2bicssc 606 $aAnalytic geometry$2bicssc 606 $aAssociative rings and algebras$2msc 606 $aAlgebraic geometry$2msc 606 $aMechanics of particles and systems$2msc 615 07$aGroups & group theory 615 07$aAnalytic geometry 615 07$aAssociative rings and algebras 615 07$aAlgebraic geometry 615 07$aMechanics of particles and systems 686 $a16-xx$a14-xx$a70-xx$2msc 700 $aEtingof$b Pavel$01071533 801 0$bch0018173 906 $aBOOK 912 $a9910151936803321 996 $aCalogero-Moser systems and representation theory$92567448 997 $aUNINA