8th International Conference on Symmetries and Integrability of Difference Equations (SIDE8)

June 22-28, 2008

Program

 

Sunday, June 22, 2008


18:00
Shuttle departure from the Université de Montréal campus (Pavillon André-Aisenstadt) for the Hotel Mont-Gabriel
19:30
Dinner

 

Monday, June 23, 2008

07:30 - 09:00
Breakfast

Session - Geometry of Discrete and Continuous Painlevé Equations

09:00 - 09:30
Frank W. Nijhoff
(University of Leeds)
Similarity reduction of q-difference equations of KdV type and Chazy-type second-degree q-difference equations
Abstract
09:30 - 10:00
Masatoshi Noumi
(Kobe University)
Some remarks on tau-functions for discrete Painelevé equations
Abstract
10:00 - 10:30
Coffee break
10:30 - 11:00
Yasuhiro Ohta
(Kobe University)
Bäcklund transformation of Toda lattice and solution of Painlevé equation
Abstract
11:00 - 11:30
Kenji Kajiwara
(Kyushu University)
Hypergeometric solutions to the Painlevé systems
Abstract

Session - Continuous Symmetries of Discrete Equations. Theory and Computational Applications

11:30 - 12:00
Vladimir Dorodnitsyn
(Keldysh Institute of Applied Mathematics)
Non-autonomous dynamical systems and exact solutions of evolution PDEs
Abstract
12:00 - 12:30
Peter Hydon
(University of Surrey)
Conservation laws for difference equations
Abstract

Diapos / Slides

12:30 - 14:00
Lunch

Session - Continuous Symmetries of Discrete Equations. Theory and Computational Applications

14:00 - 14:30
Rafael Hernandez-Heredero
(Universidad Politécnica de Madrid (UPM))
Classification of integrable difference equations using multiscale techniques
Abstract
14:30 - 15:00
Raphaël Rebêlo
(Université de Montréal)
2nd and 3rd order ODEs invariant under SL(2,R) and their symmetry preserving discretizations
Abstract

Diapos / Slides
15:00 - 15:30
Coffee break
15:30 - 16:00
Christian Scimiterna
(University Roma Tre)
Integrability of discrete systems via multiscale expansions
Abstract

Diapos / Slides
16:00 - 16:30
Anastasios Tongas
(University of Crete)
Symmetries and reductions of integrable discrete equations on quad-graphs
Abstract

Diapos / Slides
16:30 - 17:00
Jorge Enrique Lopez-Sendino
(Universidad de Valladolid)
Umbral harmonic oscillator and its symmetries
Abstract
17:00 - 17:30
Sébastien Tremblay
(Université du Québec à Trois-Rivières)
Symmetries of discrete dynamical systems in a two-dimensional lattice
Abstract

Diapos / Slides
17:30 - 18:00
Michael Hay
(University of Sydney)
Completeness study on certain 2X2 partial difference equation Lax pairs
Abstract

Diapos / Slides

19:30
Dinner

 

Tuesday, June 24, 2008

07:30 - 09:00
Breakfast

Session - Yang-Baxter Maps

09:00 - 09:30
Alexander P. Veselov
(Loughborough University)
Yang--Baxter maps: a brief review
Abstract
09:30 - 10:00
Vassilios Papageorgiou
(University of Patras)
Integrable lattice equations and Yang--Baxter maps
Abstract
10:00 - 10:30
Coffee break
10:30 - 11:00
Yuri B. Suris
(Technische Universitaet Muenchen)
Yang--Baxter maps of geometric origin
Abstract
11:00 - 11:30
Barbara Prinari
(Universita' del Salento)
Yang--Baxter properties of vector NLS solitons
Abstract
11:30 - 12:00
Omar Rojas
(La Trobe University)
Geometry of tropical QRT integrable maps
Abstract

12:30 - 14:00
Lunch

Session - Algebraic Aspects of Discrete Equations

14:00 - 14:30
Vladimir Novikov
(Loughborough University)
Perturbative symmetry approach for differential-difference equations
Abstract
14:30 - 15:00
Nalini Joshi
(The University of Sydney)
Direct reductions of differential-difference equations
Abstract
15:00 - 15:30
Coffee break
15:30 - 16:00
Boris Konopelchenko
(Universita del Salento)
Discrete, q-discrete deformations of associative algebras and integrable systems
Abstract
16:00 - 16:30
Jarmo Hietarinta
(University of Turku)
Bilinear forms and soliton solutions to partial difference equations
Abstract

Diapos / Slides
16:30 - 17:00
Alexander Mikhailov
(University of Leeds)
Solutions of integrable two dimensional generalisation of the Volterra system
Abstract

Diapos / Slides
17:00 - 17:30
Christian Korff
(University of Glasgow)
Representation theory and q-difference equations in quantum integrable lattice models
Abstract

Diapos / Slides
17:30 - 18:00
Mariusz Bialecki
(Polish Academy of Sciences)
A discrete Sato-like theory for finite fields
Abstract
18:00 - 18:30
Maciej Nieszporski
(Uniwersytet Warszawski)
Integrable dynamics of Toda type on square and triangular lattices
Abstract

19:30
Dinner

 

Wednesday, June 25, 2008

07:30 - 09:00
Breakfast

Session - Singularity Confinement, Algebraic Entropy and Nevanlinna Theory

09:00 - 09:30
Claude Viallet
(CNRS / Univ. Pierre et Marie Curie)
What values for the algebraic entropy?
Abstract
09:30 - 10:00
Stéphane Lafortune
(College of Charleston)
Singularity analysis and Hirota bilinear form for ultra-discrete equations
Abstract

Diapos / Slides
10:00 - 10:30
Coffee break
10:30 - 11:00
Rodney Halburd
(University College London)
Nevanlinna theory and diophantine approximation in integrable systems and beyond
Abstract
11:00 - 11:30
Alfred Ramani
(École Polytechnique)
Do integrable mappings have the Painlevé property?
Abstract

Diapos / Slides

Session - Others

11:30 - 12:00
Yunbo Zeng
(Tsinghua University)
A new multi-component two dimensional Toda lattice hierarchy
Abstract

Diapos / Slides

12:30 - 14:00
Lunch

14:00
Free afternoon

 

Thursday, June 26, 2008

07:30 - 09:00
Breakfast

Session - Discrete Differential Geometry

09:00 - 09:30
Yuri B. Suris
(Technische Universitaet Muenchen)
Discrete Koenigs nets
Abstract
09:30 - 10:00
Michael Gekhtman
(University of Notre-Dame)
Grassmannians, KP tau-functions and Poisson structures
Abstract
10:00 - 10:30
Coffee break
10:30 - 11:00
Thomas Wolf
(Brock University)
Hyperdeterminats as integrable 3D difference equations
Abstract

Diapos / Slides
11:00 - 11:30
Wolfgang Karl Schief
(Technical University Berlin)
The discretisation of Bertrand curves and Razzaboni surfaces and their underlying “exotic” integrable equations
Abstract

12:30 - 14:00
Lunch

Session - Others

14:00 - 14:30
Atsushi Nagai
(College of Industrial Technology, Nihon University)
Best constant of Sobolev inequalities
Abstract

Diapos / Slides
14:30 - 15:00
Yang Shi
(university of Sydney)
Solution to 2x2 isomonodromy problems of the 2nd and 3rd q-discrete Painlevé equation
Diapos / Slides
15:00 - 15:30
Coffee break

Session - Discrete Integrable Systems and Isomonodromy Transformations

15:30 - 16:15
Alexei Borodin
(Caltech)
Isomonodromy transformations of difference equations and probability
Abstract
16:15 - 17:00
Dmytro Arinkin
(University of North Carolina)
Geometric approach to discrete isomonodromy transformations
Abstract

Diapos / Slides
17:00 - 17:45
Eric M. Rains
(California Institute of Technology)
An isomonodromy interpretation of the elliptic Painlevé equation
Abstract
17:45 - 18:30
Anton Dzhamay
(The University of Northern Colorado)
On the Lagrangian structure of the discrete isomonodromic and isospectral dynamics
Abstract

Diapos / Slides

19:30
Dinner

 

Friday, June 27, 2008

07:30 - 09:00
Breakfast

Session - Special Functions as Solutions of Difference and Q-difference Equations

09:00 - 09:30
Mizan Rahman
(Carleton University )
A q-analogue of the 9-j symbols
Abstract
09:30 - 10:00
Natig Atakishiyev
(Universidad Nacional Autonoma de Mexico)
On a q-extension of Mehta's eigenvectors of the finite Fourier transform for q a root of unity
Abstract
10:00 - 10:30
Coffee break
10:30 - 11:00
Alexei Zhedanov
(Donetsk Institute for Physics and Technology)
Elliptic solutions of the restricted Toda chain, the Lamé polynomials and a generalization of the elliptic Stieltjes polynomials
Abstract
11:00 - 11:30
Walter Van Assche
(Katholieke Universiteit Leuven, Belgium)
Multiple orthogonal polynomials, recurrence relations and the corresponding Toda lattice
Abstract

Diapos / Slides
11:30 - 12:00
Boyka Aneva
(Bulgarian Academy of Sciences)
Boundary Askey-Wilson symmetry and related spectral problem
Abstract
12:00 - 12:30
Paul Spicer
(University of Sydney)
Semiclassical orthogonal polynomials and related difference equations
Diapos / Slides

12:30 - 14:00
Lunch

Session - Others

14:00 - 14:30
Oleg Bogoyavlenskij
(Queen's University)
Method of descent for integrable lattices
Abstract
14:30 - 15:00
John Harnad
(Université de Montréal & Concordia University)
Tau functions, random processes and equilibrium models of 1-D fermi gases
Abstract

Diapos / Slides
15:00 - 15:30
Coffee break
15:30 - 16:00
Andrei Bogatyrev
(Russian Academy of Sciences)
Pictorial representation of solutions of PS-3 integral equation
Abstract
16:00 - 16:30
Primitivo Belen Acosta-Humanez
(Universidad Politécnica de Cataluna)
Galoisian approach to supersymmetric quantum mechanics - Work in progress
Abstract
16:30 - 17:00
Valentina Golubeva
(VINITI)
On integrability of two-parametric Knizhnik-Zamolodchikov equations of B_n type and some other field-theoretic equations
Abstract

Diapos / Slides
17:00 - 17:30
Oleksii Mokhonko
(Kyiv National Taras Shevchenko University)
Block Jacobi matrix structure of normal operators with certain spectral properties and the corresponding difference-differential flows

19:00
Dinner

 

Saturday, June 28, 2008

07:30 - 09:00
Breakfast

Session - Others

09:00 - 09:30
James Pettigrew
(University of New South Wales)
Characterizing singular curves in parametrized families of biquadratics
Abstract

Diapos / Slides
09:30 - 10:00
Willy Hereman
(Colorado School of Mines)
Symbolic computation of Lax pairs of nonlinear partial difference equations
Abstract

Diapos / Slides
10:00 - 10:30
Coffee break
10:30 - 11:15
F. Alberto Grünbaum
(University of California, Berkeley)
A matrix valued version of the bispectral problem
Abstract

Diapos / Slides

12:30 - 14:00
Lunch

14:30
Shuttle departure for Montreal