
Proceedings of the Workshop
“Geometric Aspects of Discrete and UltraDiscrete Integrable Systems”
(March 30 − April 3, 2009, University of Glasgow, UK)
The Guest Editors for this special issue are
Christian Korff (University of Glasgow, UK)
Masato Okado (Osaka University, Japan)
Wolfgang K. Schief (Technische Universität Berlin, Germany)
Tetsuji Tokihiro (The University of Tokyo, Japan)
The satellite workshop Geometric Aspects of Discrete and UltraDiscrete
Integrable Systems (March 30 − April 3, 2009) was part of the Isaac
Newton Institute Programme on Discrete Integrable Systems (January 19 − July 3, 2009). It brought together different communities of researchers
working on classical and quantum aspects of integrable systems as well
as experts on combinatorial representation theory and crystals and this
interdisciplinary aspect is reflected in this proceedings volume.
On behalf of the other organisers, Claire Gilson and Jon Nimmo, I would
like to express our gratitude to the participants of the workshop, the
contributing authors to this volume, the guest editors (Professors
Masato Okado, Wolfgang Schief and Tetsuji Tokihiro) and the organisers
of the Discrete Integrable Systems programme as well as the support
staff of the Isaac Newton Institute.
Christian Korff
Glasgow, April 9, 2010
Papers in this Issue:

On Quadrirational YangBaxter Maps

V.G. Papageorgiou, Yu.B. Suris, A.G. Tongas and A.P. Veselov
SIGMA 6 (2010), 033, 9 pages [ abs
pdf ps ]

YangBaxter Maps from the Discrete BKP Equation

Saburo Kakei, Jonathan J.C. Nimmo and Ralph Willox
SIGMA 6 (2010), 028, 11 pages [ abs
pdf ps ]

Level Set Structure of an Integrable Cellular Automaton

Taichiro Takagi
SIGMA 6 (2010), 027, 18 pages [ abs
pdf ps ]

Epsilon Systems on Geometric Crystals of Type A_{n}

Toshiki Nakashima
SIGMA 6 (2010), 023, 14 pages [ abs
pdf ps ]

Zero Action on Perfect Crystals for U_{q}(G_{2}^{(1)})

Kailash C. Misra, Mahathir Mohamad and Masato Okado
SIGMA 6 (2010), 022, 12 pages [ abs
pdf ps ]

Qsystem Cluster Algebras, Paths and Total Positivity

Philippe Di Francesco and Rinat Kedem
SIGMA 6 (2010), 014, 36 pages [ abs
pdf ps ]

Bethe Ansatz, Inverse Scattering Transform
and Tropical Riemann Theta Function in a Periodic
Soliton Cellular Automaton for A_{n}^{(1)}

Atsuo Kuniba and Taichiro Takagi
SIGMA 6 (2010), 013, 52 pages [ abs
pdf ps ]

