03682nam 22005415a 450 991015193710332120091109150325.03-03719-520-710.4171/020(CKB)3710000000953804(CH-001817-3)50-091109(PPN)178155152(EXLCZ)99371000000095380420091109j20061201 fy 0engurnn|mmmmamaatxtrdacontentcrdamediacrrdacarrierDifferential Equations and Quantum Groups[electronic resource] Andrey A. Bolibrukh Memorial Volume /Daniel Bertrand, Benjamin Enriquez, Claude Mitschi, Claude Sabbah, Reinhard SchäfkeZuerich, Switzerland European Mathematical Society Publishing House20061 online resource (302 pages)IRMA Lectures in Mathematics and Theoretical Physics (IRMA) ;2523-5133 ;9Realization of irreducible monodromy by Fuchsian systems and reduction to the Birkhoff standard form (by Andrey Bolibrukh) /Yulij Ilyashenko --The work of Andrey Bolibrukh on isomonodromic deformations /Claude Sabbah --Two notions of integrability /Michèle Audin --Formal power series solutions of the heat equation in one spatial variable /Werner Balser --Multiplicity of critical points of master functions and Schubert calculus /Prakash Belkale, Evgeny Mukhin, Alexander Varchenko --Some explicit solutions to the Riemann-Hilbert problem /Philip Boalch --Galois theory of parameterized differential equations and linear differential algebraic groups /Phyllis J. Cassidy, Michael F. Singer --On the reductions and classical solutions of the Schlesinger equations /Boris Dubrovin, Marta Mazzocco --On the Riemann-Hilbert correspondence for generalized Knizhnik-Zamolodchikov equations for different root systems /Valentina Golubeva --Monodromy groups of regular systems on the Riemann sphere /Vladimir Petrov Kostov --Monodromy of Cherednik-Kohno-Veselov connections /Vladimir P. Leksin --Invitation to Galois theory /Hiroshi Umemura.This 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, Painlevé equations, Schlesinger equations, integrable systems, KZ equations, complex reflection groups, root systems.Differential equationsbicsscGroups & group theorybicsscAlgebraic geometrymscGroup theory and generalizationsmscSeveral complex variables and analytic spacesmscPartial differential equationsmscDifferential equationsGroups & group theoryAlgebraic geometryGroup theory and generalizationsSeveral complex variables and analytic spacesPartial differential equations14-xx20-xx32-xx35-xxmscBertrand DanielEnriquez BenjaminMitschi ClaudeSabbah ClaudeSchäfke Reinhardch0018173BOOK9910151937103321Differential equations and quantum groups1218790UNINA