
Proceedings of the Workshop
“Elliptic Integrable Systems, Isomonodromy Problems, and Hypergeometric Functions”
(July 21−25, 2008, MPIM, Bonn, Germany)
The Guest Editors for this special issue are
Masatoshi Noumi (Kobe University, Japan)
Eric M. Rains (California Institute of Technology, USA)
Hjalmar Rosengren (Chalmers University of Technology and University of Gothenburg, Sweden)
Vyacheslav P. Spiridonov (Joint Institute for Nuclear Research, Dubna, Russia)
The present collection includes papers by participants of the workshop
''Elliptic Integrable Systems, Isomonodromy Problems, and Hypergeometric
Functions", held at Max Planck Institute for Mathematics in Bonn
July 21−25, 2008. The meeting was a satellite to the 5th European Congress of
Mathematics, and a continuation of the workshop ''Elliptic Integrable
Systems'' held at RIMS (Kyoto) in November 2004.
The workshop gathered 35 participants from 13 countries. There were
23 lectures, presenting the latest advances on elliptic hypergeometric
functions and their relation to integrable systems, Painlevé equations
and other fields. A detailed programme can be found at the conference
web page.
We would like to thank the Max Planck Institute for Mathematics,
the Hausdorff Center for Mathematics, and the 5th European Congress
of Mathematics for financial support. We would also like to thank all the
authors who have published papers in the issue, as well as the
referees for providing constructive reviews.
The Guest Editors
Papers in this Issue:

Manin Matrices, Quantum Elliptic Commutative Families and Characteristic Polynomial of Elliptic Gaudin Model

Vladimir Rubtsov, Alexey Silantyev and Dmitri Talalaev
SIGMA 5 (2009), 110, 22 pages [ abs
pdf ps ]

Monopoles and Modifications of Bundles over Elliptic Curves

Andrey M. Levin, Mikhail A. Olshanetsky and Andrei V. Zotov
SIGMA 5 (2009), 065, 22 pages [ abs
pdf ps ]

Basic Hypergeometric Functions as Limits of Elliptic Hypergeometric Functions

Fokko J. van de Bult and Eric M. Rains
SIGMA 5 (2009), 059, 31 pages [ abs
pdf ps ]

Theta Functions, Elliptic Hypergeometric Series, and Kawanaka's Macdonald Polynomial Conjecture

Robin Langer, Michael J. Schlosser and S. Ole Warnaar
SIGMA 5 (2009), 055, 20 pages [ abs
pdf ps ]

Kernel Functions for Difference Operators of Ruijsenaars Type and Their Applications

Yasushi Komori, Masatoshi Noumi and Jun'ichi Shiraishi
SIGMA 5 (2009), 054, 40 pages [ abs
pdf ps ]

HilbertSchmidt Operators vs. Integrable Systems of Elliptic CalogeroMoser Type III. The Heun Case

Simon N.M. Ruijsenaars
SIGMA 5 (2009), 049, 21 pages [ abs
pdf ps ]

A Lax Formalism for the Elliptic Difference Painlevé Equation

Yasuhiko Yamada
SIGMA 5 (2009), 042, 15 pages [ abs
pdf ps ]

A First Order qDifference System for the BC_{1}Type Jackson Integral and Its Applications

Masahiko Ito
SIGMA 5 (2009), 041, 14 pages [ abs
pdf ps ]

Middle Convolution and Heun's Equation

Kouichi Takemura
SIGMA 5 (2009), 040, 22 pages [ abs
pdf ps ]

Elliptic Hypergeometric Solutions to Elliptic Difference Equations

Alphonse P. Magnus
SIGMA 5 (2009), 038, 12 pages [ abs
pdf ps ]

Hypergeometric τFunctions of the qPainlevé System of Type E_{7}^{(1)}

Tetsu Masuda
SIGMA 5 (2009), 035, 30 pages [ abs
pdf ps ]

Elliptic Hypergeometric Laurent Biorthogonal Polynomials with a Dense Point Spectrum on the Unit Circle

Satoshi Tsujimoto and Alexei Zhedanov
SIGMA 5 (2009), 033, 30 pages [ abs
pdf ps ]

Differential and Functional Identities for the Elliptic Trilogarithm

Ian A.B. Strachan
SIGMA 5 (2009), 031, 12 pages [ abs
pdf ps ]

