Symmetries and Integrability of Difference Equations (SIDE) VII

Melbourne, Australia
July 10th - July 14th, 2006

Abstracts of Talks and Posters

Invited Talks:

Rodney J. Baxter, The Australian National University, Australia

Lattice models in statistical mechanics: the chiral Potts model

J. J. Duistermaat, Universiteit Utrecht, The Netherlands

The QRT map as an automorphism of a rational elliptic surface

Peter Forrester, The University of Melbourne, Australia

Continuous and discrete Painlevé equations in random matrix theory

R. G. Halburd, Loughborough University, UK

Detecting discrete and ultra-discrete equations of Painlevé type

Ulrich Pinkall, Technische Universität Berlin, Germany

Discrete integrable systems and the real time simulation of fluid flow

Marius van der Put, University of Groningen, The Netherlands

Classification and moduli for q-difference equations

Hidetaka Sakai, University of Tokyo, Japan

Lax form of q-Painlevé equation associated to A₂⁽¹⁾-surface

Tetsuji Tokihiro, University of Tokyo, Japan

The exact correspondence between conserved quantities of a periodic box-ball system
and string solutions of the Bethe ansatz equations

Andrei Zelevinsky, Northeastern University, USA

Y-systems and cluster algebras

Contributed Talks:

Walter Van Assche, Katholieke Universiteit Leuven, Belgium

Some applications of multiple Hermite polynomials

Adam Doliwa, University of Warmia and Mazury in Olsztyn, Poland

The B-quadrilateral lattice and its reductions

Christopher Michael Field, University of Leeds, UK

Time-sliced path integrals with stationary states

Jarmo Hietarinta, University of Turku, Finland

Integrability and factorization

Tim Hoffmann, University of Munich, Germany

Discrete s-isothermic surfaces of constant mean curvature and a discrete sinh-Gordon equation

Kenji Kajiwara, Kyushu University, Japan

Hypergeometric solutions to the q-Painlevé equation of type (A₁+A₁^′)

Risto Korhonen, University of Joensuu, Finland

Finite-order meromorphic solutions and the discrete Painlevé equations

Stephane Lafortune, College of Charleston, USA

Integrable ultra-discrete equations and singularity analysis

Decio Levi, Universita degli Studi di Roma Tre, Italy

Asymptotic symmetries of difference equations on a lattice

Jean-Marie Maillard, Univ. P. et M. Curie, France

Painlevé versus Fuchs

Tetsu Masuda, Kobe University, Japan

Tau functions of the hypergeometric solutions to the q-difference Painlevé system of type E₇⁽¹⁾

Junta Matsukidaira, Ryukoku University, Japan

Third-order integrable difference equations generated by a pair of second-order equations

Maciej Nieszporski, University of Leeds, UK

Integrable surfaces in arbitrary parametrizations and their discretization

Frank Nijhoff, University of Leeds, UK

Symmetry reduction of quadrilateral lattices and higher-order discrete Painlevé systems

Jonathan J. C. Nimmo, University of Glasgow, UK

On a nonabelian Hirota-Miwa equation

Chris Ormerod, The University of Sydney, Australia

Connection matrices for ultradiscrete linear problems

Alfred Ramani, Ecole Polytechnique, France

Ultradiscretization without positivity

Julien Roques, Université Paul Sabatier, France

Confluence of fuchsian difference systems to differential systems

Satoru Saito, Tokyo Metropolitan University, Japan

On invariant varieties of periodic points for some rational integrable maps on C^d

Sergey Sergeev, The Australian National University, Australia

Tetrahedron equations and integrability

Anastasios Tongas, University of Patras, Greece

Yang-Baxter maps, symmetries and reductions of integrable equations on quad-graphs

Claude Viallet, LPTHE Centre National de la Recherche Scientifique, France

Algebraic entropy

Nicholas S. Witte, The University of Melbourne, Australia

Connection and asymptotic problems in scaled random matrix ensembles

Posters:

Mohammad Ali Fasihi Aghbolagh, Azarbaijan University of Tarbiat Moallem, Iran

D-algebra of su(3) and two-dimensional quasi-exactly solvable models

James Atkinson, Leeds University, UK

Bi-separability, consistency and reductions

Ayumu Hoshino, Sophia University, Japan

Polyhedral realizations of crystal bases for quantum groups

Danesh Jogia, The University of New South Wales, Australia

Algebraic geometry in integrable systems

Masaru Kamata, Kisarazu National College of Technology, Japan

Integrability of q-discretized Nahm equations

Igor Korepanov, Russia

TBA

Atsushi Mukaihira, Kyushu University, Japan

Bäcklund transformation of non-autonomous integrable systems

Atsushi Nagai, Nihon University, Japan

Discrete Bernoulli polynomials and best constant of discrete Sobolev inequalities

Vladimir Novikov, University of Kent, UK

Perturbative symmetry approach to integrability of differential-difference equations

Jim Pettigrew, The University of New South Wales, Australia

Bifurcations of 2-parameter polynomial contours

G. R. W. Quispel, La Trobe University, Australia

Integrating factors for discrete KP equations and their reductions

John A. G. Roberts, The University of New South Wales, Australia

Creating and relating 3-dimensional integrable maps

Jun'ichi Shiraishi, Tokyo University, Japan

A conjecture about raising operators for Macdonald polynomials

Paul Spicer, University of Leeds, UK

TBA

Takao Suzuki, Kobe University, Japan

The sixth Painlevé equation arising from D₄⁽¹⁾ hierarchy

Yuji Yamada, Rikkyo University, Japan

Solutions to the reflection equation associated to Belavin's Z_N-symmetric vertex model