Differential Equations and Quantum Groups
Andrey A. Bolibrukh Memorial Volume
Editors
Daniel Bertrand
Université Pierre et Marie Curie, Paris, FranceBenjamin Enriquez
IRMA, Strasbourg, FranceClaude Mitschi
IRMA, Strasbourg, FranceClaude Sabbah
Ecole Polytechnique, Palaiseau, FranceReinhard Schäfke
IRMA, Strasbourg, France
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pp. v–vi PrefaceClaude MitschiClaude Sabbah
pp. ix–x Contentspp. 1–8 Realization of irreducible monodromy by Fuchsian systems and reduction to the Birkhoff standard form (by Andrey Bolibrukh)Yulij Ilyashenko
DOI 10.4171/020-1/1pp. 9–25 The work of Andrey Bolibrukh on isomonodromic deformationsClaude Sabbah
DOI 10.4171/020-1/2pp. 27–47 Two notions of integrabilityMichèle Audin
DOI 10.4171/020-1/3pp. 49–58 Formal power series solutions of the heat equation in one spatial variableWerner Balser
DOI 10.4171/020-1/4pp. 59–84 Multiplicity of critical points of master functions and Schubert calculusPrakash BelkaleEvgeny MukhinAlexander Varchenko
DOI 10.4171/020-1/5pp. 85–112 Some explicit solutions to the Riemann–Hilbert problemPhilip Boalch
DOI 10.4171/020-1/6pp. 113–155 Galois theory of parameterized differential equations and linear differential algebraic groupsPhyllis J. CassidyMichael F. Singer
DOI 10.4171/020-1/7pp. 157–187 On the reductions and classical solutions of the Schlesinger equationsBoris DubrovinMarta Mazzocco
DOI 10.4171/020-1/8pp. 189–207 On the Riemann–Hilbert correspondence for generalized Knizhnik–Zamolodchikov equations for different root systemsValentina Golubeva
DOI 10.4171/020-1/9pp. 209–254 Monodromy groups of regular systems on the Riemann sphereVladimir Petrov Kostov
DOI 10.4171/020-1/10pp. 255–268 Monodromy of Cherednik–Kohno–Veselov connectionsVladimir P. Leksin
DOI 10.4171/020-1/11pp. 269–289 Invitation to Galois theoryHiroshi Umemura
DOI 10.4171/020-1/12