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 A
_{2}
^{(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 (A
_{1}
+A
_{1}
^{′}
)
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 E
_{7}
^{(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 D
_{4}
^{(1)}
hierarchy
Yuji Yamada, Rikkyo University, Japan
Solutions to the reflection equation associated to Belavin's Z
_{N}
-symmetric vertex model