LEADER 03682nam 22005415a 450 001 9910151937103321 005 20091109150325.0 010 $a3-03719-520-7 024 70$a10.4171/020 035 $a(CKB)3710000000953804 035 $a(CH-001817-3)50-091109 035 $a(PPN)178155152 035 $a(EXLCZ)993710000000953804 100 $a20091109j20061201 fy 0 101 0 $aeng 135 $aurnn|mmmmamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aDifferential Equations and Quantum Groups$b[electronic resource] $eAndrey A. Bolibrukh Memorial Volume /$fDaniel Bertrand, Benjamin Enriquez, Claude Mitschi, Claude Sabbah, Reinhard Scha?fke 210 3 $aZuerich, Switzerland $cEuropean Mathematical Society Publishing House$d2006 215 $a1 online resource (302 pages) 225 0 $aIRMA Lectures in Mathematics and Theoretical Physics (IRMA) ;$x2523-5133 ;$v9 327 $tRealization of irreducible monodromy by Fuchsian systems and reduction to the Birkhoff standard form (by Andrey Bolibrukh) /$rYulij Ilyashenko --$tThe work of Andrey Bolibrukh on isomonodromic deformations /$rClaude Sabbah --$tTwo notions of integrability /$rMiche?le Audin --$tFormal power series solutions of the heat equation in one spatial variable /$rWerner Balser --$tMultiplicity of critical points of master functions and Schubert calculus /$rPrakash Belkale, Evgeny Mukhin, Alexander Varchenko --$tSome explicit solutions to the Riemann-Hilbert problem /$rPhilip Boalch --$tGalois theory of parameterized differential equations and linear differential algebraic groups /$rPhyllis J. Cassidy, Michael F. Singer --$tOn the reductions and classical solutions of the Schlesinger equations /$rBoris Dubrovin, Marta Mazzocco --$tOn the Riemann-Hilbert correspondence for generalized Knizhnik-Zamolodchikov equations for different root systems /$rValentina Golubeva --$tMonodromy groups of regular systems on the Riemann sphere /$rVladimir Petrov Kostov --$tMonodromy of Cherednik-Kohno-Veselov connections /$rVladimir P. Leksin --$tInvitation to Galois theory /$rHiroshi Umemura. 330 $aThis special volume is dedicated to the memory of Andrey A. Bolibrukh. It contains two expository articles devoted to some aspects of Bolibrukh's work, followed by ten refereed research articles. Topics cover complex linear and nonlinear differential equations as well as quantum groups: monodromy, Fuchsian linear systems, Riemann-Hilbert problem, differential Galois theory, differential algebraic groups, multisummability, isomonodromy, Painleve? equations, Schlesinger equations, integrable systems, KZ equations, complex reflection groups, root systems. 606 $aDifferential equations$2bicssc 606 $aGroups & group theory$2bicssc 606 $aAlgebraic geometry$2msc 606 $aGroup theory and generalizations$2msc 606 $aSeveral complex variables and analytic spaces$2msc 606 $aPartial differential equations$2msc 615 07$aDifferential equations 615 07$aGroups & group theory 615 07$aAlgebraic geometry 615 07$aGroup theory and generalizations 615 07$aSeveral complex variables and analytic spaces 615 07$aPartial differential equations 686 $a14-xx$a20-xx$a32-xx$a35-xx$2msc 702 $aBertrand$b Daniel 702 $aEnriquez$b Benjamin 702 $aMitschi$b Claude 702 $aSabbah$b Claude 702 $aScha?fke$b Reinhard 801 0$bch0018173 906 $aBOOK 912 $a9910151937103321 996 $aDifferential equations and quantum groups$91218790 997 $aUNINA