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 What is Integrability? 12 Aug - 25 Aug 2001 Timetable: List of participants

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Monday 13 August

08.30-09.00 Registration

09.00-10.00 A Mikhailov (Leeds)

Introduction: What is Integrability?

10.00-11.00 SP Novikov (Landau Institute)

Discrete integrable systems and discrete symmetries

11.00-11.30 Coffee

11.30-12.30 M Kruskal (Rutgers)

The Painleve' property and the poly-Painleve' test

12.30-13.30 Lunch at the Centre for Mathematical Sciences

14.00-15.00 A Degasperis (Rome)

Multiscale expansion and integrability of dispersive wave equations

15.00-15.30 Tea

16.00-17.00 M Ablowitz (Colorado)

On some integrable and non-integrable equations

17.15-18.15 Welcome Wine Reception

19.00- . Dinner at Wolfson Court (Residents only)

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Tuesday 14 August

09.00-10.00 A Shabat (Landau Institute)

Classical heirarchies of integrable equations

10.00-11.00 A Degasperis (Rome)

Multiscale expansion and integrability of dispersive wave equations

11.00-11.30 Coffee

11.30-12.30 Tutorial on multiscale expansion

12.30-13.30 Lunch at the Centre for Mathematical Sciences

14.00-15.00 V Sokolov (Landau Institute)

Integrability of finite dimensional dynamical systems

15.00-15.30 Tea

15.30-16.30 L Mason

Anti-seld-duality and integrability

16.30-17.30 M Kruskal (Rutgers)

The Painleve' property and the poly-Painleve' test

19.00- . Dinner at Wolfson Court (Residents only)

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Wednesday 15 August

09.00-10.00 S Novikov (Landau Institute)

Discrete integrable systems and discrete symmetries

10.00-11.00 A Shabat (Landau Institute)

Dressing chains and darboux transformations

11.00-11.30 Coffee

11.30-12.30 L Mason

Twistor theory and integrability

12.30-13.30 Lunch at the Centre for Mathematical Sciences

14.00-15.00 A Mikhailov (Leeds)

Symmetries and conservation laws - Formal recursion operators

15.00-15.30 Tea

15.30-16.30 Tutorial on the Painleve' property

16.30-17.30 A Degasperis (Rome)

Multiscale expansion and integrability of dispersive wave equations

19.00- . Dinner at Wolfson Court (Residents only)

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Thursday 16 August

09.00-10.00 A Mikhailov (Leeds)

Necessary conditions for integrability

10.00-11.00 S Novikov (Landau Institute)

Discrete integrable systems and discrete symmetries

11.00-11.30 Coffee

11.30-12.30 Tutorial on formal recursion operators and canonical conservation laws

12.30-13.30 Lunch at the Centre for Mathematical Sciences

14.00-15.00 M Kruskal (Rutgers)

The Painleve' property and the poly-Painleve' test

15.00-15.30 Tea

15.30-16.30 Discussion/problem solving

16.30-17.30 J Sanders (Amsterdam)

Number theory and the symmetry classification of integrable systems

19.00- . Dinner at Wolfson Court (Residents only)

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Friday 17 August

09.00-10.00 J Hietarinta (Turku)

Hirota's bilinear method and its connection with integrability

10.00-11.00 V Zakharov (Landau Institute)

Multidimensional perturbation theory

11.00-11.30 Coffee

11.30-12.30 Tutorial on discrete integrable systems and symmetries

12.30-13.30 Lunch at the Centre for Mathematical Sciences

14.00-15.00 Y Kodama (Ohio)

Normal forms and solitons

15.00-15.30 Tea

15.30-16.30 Discussion/problem solving

16.30-17.30 J Sanders (Amsterdam)

Number theory and the symmetry classification of integrable systems

19.00- . Dinner at Wolfson Court (Residents only)

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Monday 20 August

09.00-10.00 V Sokolov (Landau Institute)

Classification problem - main results

10.00-11.00 Y Kodama (Ohio)

Normal forms and solitons

11.00-11.30 Coffee

11.30-12.30 Tutorial - Transformations of PDE's

12.30-13.30 Lunch at the Centre for Mathematical Sciences

14.00-15.00 J Hietarinta (Turku)

Hirota's bilinear method and its connection with integrability

15.00-15.30 Tea

15.30-16.30 Tutorial on Hirota's bilinear method

16.30-17.30 JA Sanders (Amsterdam)

Number theory and the symmetry classifiction of integrable systems

19.00- . Dinner at Wolfson Court (Residents only)

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Tuesday 21 August

09.00-10.00 Y Kodama (Ohio)

Normal forms and solitons

10.00-11.00 J Hietarinta (Turku)

Hirota's bilinear method and its connection with integrability

11.00-11.30 Coffee

11.30-12.30 Tutorial on normal forms and solitons

12.30-13.30 Lunch at the Centre for Mathematical Sciences

15.00-15.30 Tea

15.30-16.30 T Miwa (Kyoto)

Quantum integrable systems

16.30-17.30 V Zakharov (Landau Institute)

Multidimensional perturbation theory

19.00- . Dinner at Wolfson Court (Residents only)

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Wednesday 22 August

09.00-10.00 P Clarkson (Kent)

Symmetry, the Chazy equation and Chazy hierarchies

10.00-11.00 A Shabat (Landau Institute)

Integrable Lagrangian equations

11.00-11.30 Coffee

11.30-12.30 Tutorial on quantum integrable systems

12.30-13.30 Lunch at the Centre for Mathematical Sciences

14.00-15.00 H Flaschka (Arizona)

Representation theory and integrability

15.00-15.30 Tea

15.30-16.30 PA Clarkson (Kent)

The inverse scattering transform

16.30-17.30 P Olver (Minnesota)

Multi-Hamiltonian structures and integrability  More info

19.00- . Dinner at Wolfson Court (Residents only)

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Thursday 23 August

09.00-10.00 V Zakharov (Landau Institute)

Multidimensional perturbation theory

10.00-11.00 P Clarkson (Kent)

Symmetry, the Chazy equation and Chazy hierarchies

11.00-11.30 Coffee

11.30-12.30 Tutorial on symmetry and integrability

12.30-13.30 Lunch at the Centre for Mathematical Sciences

14.00-15.00 P Winternitz (Montreal)

Superintegrability, multiseparability and exact solvability in quantum
mechanics I  More info

15.00-15.30 Tea

15.30-16.30 Discussion/problem solving

16.30-17.30 T Miwa (Kyoto)

Quantum integrable systems

19.00- . Dinner at Wolfson Court (Residents only)

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Friday 24 August

09.00-10.00 P Winternitz (Montreal)

Superintegrability, multiseparability and exact solvability in quantum
mechanics II  More info

10.00-11.00 P Olver (Minnesota)

Multi-Hamiltonian structures and integrability  More info

11.00-11.30 Coffee

11.30-12.30 Tutorial on links

12.30-13.30 Lunch at the Centre for Mathematical Scienes

14.00-15.00 T Miwa (Kyoto)

Quantum integrable systems

15.00-15.30 Tea

15.30-16.30 H Flaschka (Arizona)

Representation theory and integrability

16.30-17.30 Final discussion - What is integrability?

19.00- . Dinner at Wolfson Court (Residents only)

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