Organisers: Professor JC Eilbeck (Heriot-Watt), Professor AV Mikhailov (Leeds), Professor PM Santini (Rome), Professor VE Zakharov (Moscow)

Isaac Newton Institute for Mathematical Sciences A Newton Institute Workshop Discrete Systems and Integrability 2 Sep - 15 Sep 2001 Timetable: List of participants

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Monday 3 September

08.30-09.45 Registration

09.45-10.00 Welcome

10.00-11.00 S Ruijsenaars (Amsterdam)

A new class of integrable quantum lattice systems

11.00-11.30 Coffee

11.30-12.30 J Van Diejen (Talca)

On the zeros of the solitude Baker-Akhiezer function for the Toda
chain

12.30-13.30 Lunch at the Centre for Mathematical Sciences

14.45-15.00 Tea

15.00-16.00 V Sokolov (Landau Institute)

Laplace transform and integrable hyperbolic equations of Liouville
type

16.00-17.00 Discussion

17.30-18.30 Wine Reception

19.00-19.30 Dinner at Wolfson Court (Residents only)

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Tuesday 4 September

09.00-10.00 K Kajiwara (Doshisha)

On the discrete dynamical systems with $W(A^{(1)}_1A^{(1)}_2)$
symmetry

10.00-11.00 M Noumi (Kobe)

q-Painleve equations arising from a q-version of the modified KP
heirarchy

11.00-11.30 Coffee

11.30-12.30 P Clarkson (Kent)

The Painleve and discrete Painleve equations - nonlinear and discrete
special functions

12.30-13.30 Lunch at the Centre for Mathematical Sciences

14.45-15.00 Tea

15.00-16.00 A Hone (Kent)

Backlund transformations for a new integrable system with peakons

16.00-17.00 Discussion

19.00-19.30 Dinner at Wolfson Court (Residents only)

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Wednesday 5 September

09.00-10.00 V Adler (Russian Academy of Sciences)

Discrete equations on planar graphs

10.00-11.00 A Shabat (Landau Institute)

Discretization of spectral problems

11.00-11.30 Coffee

11.30-12.30 A Veselov

Discrete hydrodynamics and Monge-Ampere equations

12.30-13.30 Lunch at the Centre for Mathematical Sciences

14.45-15.00 Tea

19.00-19.30 Dinner at Wolfson Court (Residents only)

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Thursday 6 September

09.00-10.00 B Konopechenko (Lecce)

Menelaus' theorem, Clifford configurations and inversive geometry of
the discrete Schwarzian KP equation

10.00-11.00 W Schief (New South Wales)

Reciprocal figures, graphical statics and inversive geometry of the
Schwarzian BKP hierarchy

11.00-11.30 Coffee

11.30-12.30 P Santini (Rome)

Analytical methods inthe study of Integrable Discrete Geometries

12.30-13.30 Lunch at the Centre for Mathematical Sciences

14.45-15.00 Tea

15.00-16.00 M Nieszporski (Bialymstoku)

A discrete laplace ladder, the discrete Moutard equation and its
adjoint. Asymptotic lattices and discrete weingarten congruences

16.00-17.00 Discussion

19.30- . Conference Dinner at Emmanuel College

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Friday 7 September

09.00-10.00 V Kuznetsov (Leeds)

Kowalevski top revisited

10.00-11.00 S Abenda (Bologna)

On Algebraically integrable systems with deficiency

11.00-11.30 Coffee

11.30-12.30 L Mansfield (Kent)

A variaional calculus for discursive systems with applications

12.30-13.30 Lunch at the Centre for Mathematical Sciences

14.45-15.00 Tea

15.00-16.00 P Hydon (Surrey)

Direct construction of conservation laws for difference equations

16.00-17.00 M Noumi, A Veselov

Discussion on birational represenations of affine Weyl groups

19.00-19.30 Dinner at Wolfson Court (Residents only)

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Monday 10 September

09.00-10.00 R Quispel (La Trobe)

Integrable Mapping

10.00-11.00 JAG Roberts (New South Wales)

Interchanging parameters and integrals in discrete dynamical systems

11.00-11.30 Coffee

11.30-12.30 A Ramani (Ecole Polytechnique)

Integrable Mappings with quadratic or quartic invarients

12.30-13.30 Lunch at the Centre for Mathematical Sciences

14.45-15.00 Tea

15.00-16.00 V Papageorgiou (Patras)

Integrable lattice equations in 2D & 3D posing initial-boundary value
problems

16.00-17.00 Discussion

19.00-19.30 Dinner at Wolfson Court (Residents only)

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Tuesday 11 September

09.00-10.00 C Viallet (Universite Paris VI)

Complexity, singularity and integrability of maps

10.00-11.00 R Halburd (Loughborough)

Difference equations in the complex domain

11.00-11.30 Coffee

11.30-12.30 MD Kruskal (Rutgers)

Equivalent of the Painleve property for difference equations and study
of their solvability

12.30-13.30 Lunch at the Centre for Mathematical Sciences

14.45-15.00 Tea

15.00-16.00 J Hietarinta (Turku)

Tutorial on singularity confinements

16.00-17.00 Discussion

19.00-19.30 Dinner at Wolfson Court (Residents only)

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Wednesday 12 September

09.00-10.00 F Pempinelli (Lecce)

An Integrable discretization of kdV at large times

10.00-11.00 M Boiti (Lecce)

Integrable discretization of sine- and sinh-Gordon equations:
novelties and open problems

11.00-11.30 Coffee

11.30-12.30 J Sanders, JP Wang (Amsterdam)

On recursion operators

12.30-13.30 Lunch at the Centre for Mathematical Sciences

14.45-15.00 Tea

19.00-19.30 Dinner at Wolfson Court (Residents only)

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Thursday 13 September

09.00-10.00 T Tokihiro (Tokyo)

Periodic box and ball systems

10.00-11.00 R Willox (Tokyo)

Integrable lattices from D-type algebras

11.00-11.30 Coffee

11.30-12.30 F Nijhoff (Leeds)

On some integrable discrete systems related to elliptic curves

12.30-13.30 Lunch at the Centre for Mathematical Sciences

14.30-15.15 Tea and Poster Session

15.15-16.00 H Braden (Edinburgh)

Functional equations, difference equations and integrable systems

16.00-17.00 Discussion

19.00-19.30 Dinner at Wolfson Court (Residents only)

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Friday 14 September

09.00-10.00 D Levi (Rome)

Lie Symmetries for multi-dimensional discrete systems

10.00-11.00 Y Kodama (Ohio State)

Topology of the affine variety of the real part of hyperelliptic
jacobian associated with the periodic Toda Lattice

11.00-11.30 Coffee

11.30-12.30 Final Discussion

12.30-13.30 Lunch at the Centre for Mathematical Science

19.00-19.30 Dinner at Wolfson Court (Residents only)

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