Differential Equations and Quantum Groups Andrey A. Bolibrukh Memorial Volume / [electronic resource] :
Daniel Bertrand, Benjamin Enriquez, Claude Mitschi, Claude Sabbah, Reinhard Schäfke
- Zuerich, Switzerland : European Mathematical Society Publishing House, 2006
- 1 online resource (302 pages)
- IRMA Lectures in Mathematics and Theoretical Physics (IRMA) 9 .
Realization of irreducible monodromy by Fuchsian systems and reduction to the Birkhoff standard form (by Andrey Bolibrukh) / The work of Andrey Bolibrukh on isomonodromic deformations / Two notions of integrability / Formal power series solutions of the heat equation in one spatial variable / Multiplicity of critical points of master functions and Schubert calculus / Some explicit solutions to the Riemann–Hilbert problem / Galois theory of parameterized differential equations and linear differential algebraic groups / On the reductions and classical solutions of the Schlesinger equations / On the Riemann–Hilbert correspondence for generalized Knizhnik–Zamolodchikov equations for different root systems / Monodromy groups of regular systems on the Riemann sphere / Monodromy of Cherednik–Kohno–Veselov connections / Invitation to Galois theory / Yulij Ilyashenko -- Claude Sabbah -- Michèle Audin -- Werner Balser -- Prakash Belkale, Evgeny Mukhin, Alexander Varchenko -- Philip Boalch -- Phyllis J. Cassidy, Michael F. Singer -- Boris Dubrovin, Marta Mazzocco -- Valentina Golubeva -- Vladimir Petrov Kostov -- Vladimir P. Leksin -- Hiroshi Umemura.
Restricted to subscribers: http://www.ems-ph.org/ebooks.php
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.
9783037195208
10.4171/020 doi
Differential equations
Groups & group theory
Algebraic geometry
Group theory and generalizations
Several complex variables and analytic spaces
Partial differential equations
Realization of irreducible monodromy by Fuchsian systems and reduction to the Birkhoff standard form (by Andrey Bolibrukh) / The work of Andrey Bolibrukh on isomonodromic deformations / Two notions of integrability / Formal power series solutions of the heat equation in one spatial variable / Multiplicity of critical points of master functions and Schubert calculus / Some explicit solutions to the Riemann–Hilbert problem / Galois theory of parameterized differential equations and linear differential algebraic groups / On the reductions and classical solutions of the Schlesinger equations / On the Riemann–Hilbert correspondence for generalized Knizhnik–Zamolodchikov equations for different root systems / Monodromy groups of regular systems on the Riemann sphere / Monodromy of Cherednik–Kohno–Veselov connections / Invitation to Galois theory / Yulij Ilyashenko -- Claude Sabbah -- Michèle Audin -- Werner Balser -- Prakash Belkale, Evgeny Mukhin, Alexander Varchenko -- Philip Boalch -- Phyllis J. Cassidy, Michael F. Singer -- Boris Dubrovin, Marta Mazzocco -- Valentina Golubeva -- Vladimir Petrov Kostov -- Vladimir P. Leksin -- Hiroshi Umemura.
Restricted to subscribers: http://www.ems-ph.org/ebooks.php
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.
9783037195208
10.4171/020 doi
Differential equations
Groups & group theory
Algebraic geometry
Group theory and generalizations
Several complex variables and analytic spaces
Partial differential equations