Discrete systems and integrability

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Workshop theme

The EuroWorkshop is dedicated to the subject of the integrability of difference equations and of discrete systems. The topics include: partial difference equations, ordinary difference equations, integrable dynamical mappings, discrete Painleve equations, quantum systems on the lattice, cellular automata, special functions and orthogonal polynomials, and applications. The purpose of the workshop is to provide a platform for presenting state-of-the art results as well as to critically discuss open problems in the subject area.

Further information: can be obtained from Professor FW Nijhoff.

Timetable

Monday 3rd September 2001
08:30 to 09:45	Registration	No Room Required
09:45 to 10:00	Welcome	Room 1
10:00 to 11:00	A new class of integrable quantum lattice systems	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:30	On the zeros of the solitude Baker-Akhiezer function for the Toda chain	Room 1
12:30 to 13:30	Lunch at the Centre for Mathematical Sciences	No Room Required
14:45 to 15:00	Tea	No Room Required
15:00 to 16:00	Laplace transform and integrable hyperbolic equations of Liouville type	Room 1
16:00 to 17:00	Discussion	Room 1
17:30 to 18:30	Wine Reception	No Room Required
19:00 to 19:30	Dinner at Wolfson Court (Residents only)	No Room Required

Tuesday 4th September 2001
09:00 to 10:00	On the discrete dynamical systems with $W(A^{(1)}_1A^{(1)}_2)$ symmetry	Room 1
10:00 to 11:00	M Noumi Kobe University q-Painleve equations arising from a q-version of the modified KP heirarchy	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:30	The Painleve and discrete Painleve equations - nonlinear and discrete special functions	Room 1
12:30 to 13:30	Lunch at the Centre for Mathematical Sciences	No Room Required
14:45 to 15:00	Tea	No Room Required
15:00 to 16:00	Andrew Hone University of Kent Backlund transformations for a new integrable system with peakons	Room 1
16:00 to 17:00	Discussion	Room 1
19:00 to 19:30	Dinner at Wolfson Court (Residents only)	No Room Required

Wednesday 5th September 2001
09:00 to 10:00	Vserolod Adler Pereslavl-Zalessky of the Russian Academy of Sciences Discrete equations on planar graphs	Room 1
10:00 to 11:00	Alexey Shabat L.D.Landau Institute for Theoretical Physics, Moscow Discretization of spectral problems	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:30	Alexander Veselov Loughborough University Discrete hydrodynamics and Monge-Ampere equations	Room 1
12:30 to 13:30	Lunch at the Centre for Mathematical Sciences	No Room Required
14:45 to 15:00	Tea	No Room Required
19:00 to 19:30	Dinner at Wolfson Court (Residents only)	No Room Required

Thursday 6th September 2001
09:00 to 10:00	Menelaus' theorem, Clifford configurations and inversive geometry of the discrete Schwarzian KP equation	Room 1
10:00 to 11:00	Reciprocal figures, graphical statics and inversive geometry of the Schwarzian BKP hierarchy	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:30	Paolo Santini Analytical methods inthe study of Integrable Discrete Geometries	Room 1
12:30 to 13:30	Lunch at the Centre for Mathematical Sciences	No Room Required
14:45 to 15:00	Tea	No Room Required
15:00 to 16:00	Maciej Nieszporski Uniwersytet w Bialymstoku A discrete laplace ladder, the discrete Moutard equation and its adjoint. Asymptotic lattices and discrete weingarten congruences	Room 1
16:00 to 17:00	Discussion	Room 1
19:30 to 00:00	Conference Dinner at Emmanuel College	No Room Required

Friday 7th September 2001
09:00 to 10:00	Vadim Kuznetsov University of Leeds Kowalevski top revisited	Room 1
10:00 to 11:00	Simonetta Abenda On Algebraically integrable systems with deficiency	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:30	A variaional calculus for discursive systems with applications	Room 1
12:30 to 13:30	Lunch at the Centre for Mathematical Sciences	No Room Required
14:45 to 15:00	Tea	No Room Required
15:00 to 16:00	Peter Hydon University of Surrey Direct construction of conservation laws for difference equations	Room 1
16:00 to 17:00	M Noumi Kobe University Discussion on birational represenations of affine Weyl groups	Room 1
19:00 to 19:30	Dinner at Wolfson Court (Residents only)	Room 1

Monday 10th September 2001
09:00 to 10:00	Reinout Quispel La Trobe University Integrable Mapping	Room 1
10:00 to 11:00	Interchanging parameters and integrals in discrete dynamical systems	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:30	Integrable Mappings with quadratic or quartic invarients	Room 1
12:30 to 13:30	Lunch at the Centre for Mathematical Sciences	No Room Required
14:45 to 15:00	Tea	No Room Required
15:00 to 16:00	Vassilios Papageorgiou Integrable lattice equations in 2D \& 3D posing initial-boundary value problems	Room 1
16:00 to 17:00	Discussion	Room 1
19:00 to 19:30	Dinner at Wolfson Court (Residents only)	No Room Required

Tuesday 11th September 2001
09:00 to 10:00	Claude Viallet Complexity, singularity and integrability of maps	Room 1
10:00 to 11:00	Rod Halburd Loughborough University Difference equations in the complex domain	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:30	Martin Kruskal Equivalent of the Painleve property for difference equations and study of their solvability	Room 1
12:30 to 13:30	Lunch at the Centre for Mathematical Sciences	No Room Required
14:45 to 15:00	Tea	No Room Required
15:00 to 16:00	Jarmo Hietarinta University of Turku Tutorial on singularity confinements	Room 1
16:00 to 17:00	Discussion	Room 1
19:00 to 19:30	Dinner at Wolfson Court (Residents only)	No Room Required

Wednesday 12th September 2001
09:00 to 10:00	Flora Pempinelli An Integrable discretization of kdV at large times	Room 1
10:00 to 11:00	Marco Boiti Integrable discretization of sine- and sinh-Gordon equations: novelties and open problems	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:30	Jan Sanders Vrije Universiteit Amsterdam On recursion operators	Room 1
12:30 to 13:30	Lunch at the Centre for Mathematical Sciences	No Room Required
14:45 to 15:00	Tea	No Room Required
19:00 to 19:30	Dinner at Wolfson Court (Residents only)	No Room Required

Thursday 13th September 2001
09:00 to 10:00	Periodic box and ball systems	Room 1
10:00 to 11:00	Integrable lattices from D-type algebras	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:30	On some integrable discrete systems related to elliptic curves	Room 1
12:30 to 13:30	Lunch at the Centre for Mathematical Sciences	No Room Required
14:30 to 15:15	Tea and Poster Session	No Room Required
15:15 to 16:00	Harry Braden University of Edinburgh Functional equations, difference equations and integrable systems	Room 1
16:00 to 17:00	Discussion	Room 1
19:00 to 19:30	Dinner at Wolfson Court (Residents only)	No Room Required

Friday 14th September 2001
09:00 to 10:00	Lie Symmetries for multi-dimensional discrete systems	Room 1
10:00 to 11:00	Yuji Kodama Ohio State University Topology of the affine variety of the real part of hyperelliptic jacobian associated with the periodic Toda Lattice	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:30	Final Discussion	Room 1
12:30 to 13:30	Lunch at the Centre for Mathematical Science	No Room Required
19:00 to 19:30	Dinner at Wolfson Court (Residents only)	No Room Required

Speakers

Simonetta Abenda
Vserolod Adler Pereslavl-Zalessky of the Russian Academy of Sciences
Marco Boiti
Harry Braden University of Edinburgh
Rod Halburd Loughborough University
Jarmo Hietarinta University of Turku
Andrew Hone University of Kent
Peter Hydon University of Surrey
Yuji Kodama Ohio State University
Martin Kruskal
Vadim Kuznetsov University of Leeds
Maciej Nieszporski Uniwersytet w Bialymstoku
M Noumi Kobe University
Vassilios Papageorgiou
Flora Pempinelli
Reinout Quispel La Trobe University
Jan Sanders Vrije Universiteit Amsterdam
Paolo Santini
Alexey Shabat L.D.Landau Institute for Theoretical Physics, Moscow
Alexander Veselov Loughborough University
Claude Viallet

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