Differential Equations and Quantum Groups

pp. v–vi
Preface
Claude MitschiClaude Sabbah
pp. ix–x
Contents
pp. 1–8
Realization of irreducible monodromy by Fuchsian systems and reduction to the Birkhoff standard form (by Andrey Bolibrukh)
Yulij Ilyashenko
DOI 10.4171/020-1/1
pp. 9–25
The work of Andrey Bolibrukh on isomonodromic deformations
Claude Sabbah
DOI 10.4171/020-1/2
pp. 27–47
Two notions of integrability
Michèle Audin
DOI 10.4171/020-1/3
pp. 49–58
Formal power series solutions of the heat equation in one spatial variable
Werner Balser
DOI 10.4171/020-1/4
pp. 59–84
Multiplicity of critical points of master functions and Schubert calculus
Prakash BelkaleEvgeny MukhinAlexander Varchenko
DOI 10.4171/020-1/5
pp. 85–112
Some explicit solutions to the Riemann–Hilbert problem
Philip Boalch
DOI 10.4171/020-1/6
pp. 113–155
Galois theory of parameterized differential equations and linear differential algebraic groups
Phyllis J. CassidyMichael F. Singer
DOI 10.4171/020-1/7
pp. 157–187
On the reductions and classical solutions of the Schlesinger equations
Boris DubrovinMarta Mazzocco
DOI 10.4171/020-1/8
pp. 189–207
On the Riemann–Hilbert correspondence for generalized Knizhnik–Zamolodchikov equations for different root systems
Valentina Golubeva
DOI 10.4171/020-1/9
pp. 209–254
Monodromy groups of regular systems on the Riemann sphere
Vladimir Petrov Kostov
DOI 10.4171/020-1/10
pp. 255–268
Monodromy of Cherednik–Kohno–Veselov connections
Vladimir P. Leksin
DOI 10.4171/020-1/11
pp. 269–289
Invitation to Galois theory
Hiroshi Umemura
DOI 10.4171/020-1/12

Editors

Daniel Bertrand

Benjamin Enriquez

Claude Mitschi

Claude Sabbah

Reinhard Schäfke

Preface

Contents

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