Differential Equations and Quantum Groups


Book details

Realization of irreducible monodromy by Fuchsian systems and reduction to the Birkhoff standard form (by Andrey Bolibrukh)
Yulij Ilyashenko
pp. 1–8
Abstract | Full-Text PDF (67 KB)

The work of Andrey Bolibrukh on isomonodromic deformations
Claude Sabbah
pp. 9–25
Abstract | Full-Text PDF (136 KB)

Two notions of integrability
Michèle Audin
pp. 27–47
Abstract | Full-Text PDF (587 KB)

Formal power series solutions of the heat equation in one spatial variable
Werner Balser
pp. 49–58
Abstract | Full-Text PDF (85 KB)

Multiplicity of critical points of master functions and Schubert calculus
Prakash Belkale, Evgeny Mukhin and Alexander Varchenko
pp. 59–84
Abstract | Full-Text PDF (186 KB)

Some explicit solutions to the Riemann–Hilbert problem
Philip Boalch
pp. 85–112
Abstract | Full-Text PDF (176 KB)

Galois theory of parameterized differential equations and linear differential algebraic groups
Phyllis J. Cassidy and Michael F. Singer
pp. 113–155
Abstract | Full-Text PDF (287 KB)

On the reductions and classical solutions of the Schlesinger equations
Boris Dubrovin and Marta Mazzocco
pp. 157–187
Abstract | Full-Text PDF (198 KB)

On the Riemann–Hilbert correspondence for generalized Knizhnik–Zamolodchikov equations for different root systems
Valentina Golubeva
pp. 189–207
Abstract | Full-Text PDF (138 KB)

Monodromy groups of regular systems on the Riemann sphere
Vladimir Petrov Kostov
pp. 209–254
Abstract | Full-Text PDF (293 KB)

Monodromy of Cherednik–Kohno–Veselov connections
Vladimir P. Leksin
pp. 255–268
Abstract | Full-Text PDF (124 KB)

Invitation to Galois theory
Hiroshi Umemura
pp. 269–289
Abstract | Full-Text PDF (140 KB)

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