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020 _a9783037195208
024 7 0 _a10.4171/020
_2doi
040 _ach0018173
072 7 _aPBKJ
_2bicssc
072 7 _aPBFD
_2bicssc
084 _a14-xx
_a20-xx
_a32-xx
_a35-xx
_2msc
245 1 0 _aDifferential Equations and Quantum Groups
_h[electronic resource] :
_bAndrey A. Bolibrukh Memorial Volume /
_cDaniel Bertrand, Benjamin Enriquez, Claude Mitschi, Claude Sabbah, Reinhard Schäfke
260 3 _aZuerich, Switzerland :
_bEuropean Mathematical Society Publishing House,
_c2006
264 1 _aZuerich, Switzerland :
_bEuropean Mathematical Society Publishing House,
_c2006
300 _a1 online resource (302 pages)
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 0 _aIRMA Lectures in Mathematics and Theoretical Physics (IRMA)
_v9
505 0 0 _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 /
_rMichèle 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.
506 1 _aRestricted to subscribers:
_uhttp://www.ems-ph.org/ebooks.php
520 _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, Painlevé equations, Schlesinger equations, integrable systems, KZ equations, complex reflection groups, root systems.
650 0 7 _aDifferential equations
_2bicssc
650 0 7 _aGroups & group theory
_2bicssc
650 0 7 _aAlgebraic geometry
_2msc
650 0 7 _aGroup theory and generalizations
_2msc
650 0 7 _aSeveral complex variables and analytic spaces
_2msc
650 0 7 _aPartial differential equations
_2msc
700 1 _aBertrand, Daniel,
_eeditor.
700 1 _aEnriquez, Benjamin,
_eeditor.
700 1 _aMitschi, Claude,
_eeditor.
700 1 _aSabbah, Claude,
_eeditor.
700 1 _aSchäfke, Reinhard,
_eeditor.
856 4 0 _uhttps://doi.org/10.4171/020
856 4 2 _3cover image
_uhttp://www.ems-ph.org/img/books/irma_mitschi.jpg
942 _2EBK13741
_cEBK
999 _c50365
_d50365