IRMA Lectures in Mathematics and Theoretical Physics 2006; 302 pp; softcover Volume: 9 ISBN10: 3037190205 ISBN13: 9783037190203 List Price: US$54 Member Price: US$43.20 Order Code: EMSILMTP/9
 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 and quantum groups: monodromy, Fuchsian linear systems, RiemannHilbert problem, differential Galois theory, differential algebraic groups, multisummability, isomonodromy, Painlevé equations, Schlesinger equations, integrable systems, KZ equations, complex reflection groups, and root systems. A publication of the European Mathematical Society. Distributed within the Americas by the American Mathematical Society. Readership Graduate students and research mathematicians interested in differential equations and quantum groups. Table of Contents  Y. Ilyashenko  Realization of irreducible monodromy by Fuchsian systems and reduction to the Birkhoff standard form (by Andrey Bolibrukh)
 C. Sabbah  The work of Andrey Bolibrukh on isomonodromic deformations
 M. Audin  Two notions of integrability
 W. Balser  Formal power series solutions of the heat equation in one spatial variable
 P. Belkale, E. Mukhin, and A. Varchenko  Multiplicity of critical points of master functions and Schubert calculus
 P. Boalch  Some explicit solutions to the RiemannHilbert problem
 P. J. Cassidy and M. F. Singer  Galois theory of parameterized differential equations and linear differential algebraic groups
 B. Dubrovin and M. Mazzocco  On the reductions and classical solutions of the Schlesinger equations
 V. A. Golubeva  On the RiemannHilbert correspondence for generalized KnizhnikZamolodchikov equations for different root systems
 V. P. Kostov  Monodromy groups of regular systems on the Riemann sphere
 V. P. Leksin  Monodromy of CherednikKohnoVeselov connections
 H. Umemura  Invitation to Galois theory
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