The modern theory of integrability was created and developed over the last thirty years by a number of international research groups. Several approaches to integrable equations have been elaborated, which look quite different but focus on solutions of the same range of problems. One of the aims of this programme is to bring together key scientists with various background and expertise in order to elaborate a coherent view on the problem and to attempt to develop a synthetic theory which would reconcile the different approaches. This will be the first meeting on such a scale and we expect that mutual understanding of different approaches will cause a breakthrough in the whole theory of integrable equations and significantly extend its applications.
The following methods for studying integrability will be discussed
In addition the "dressing method", and its many variations, will be looked at as a technique for constructing and solving integrable systems. The topic of Quantum Integrability will also be addressed. Links between the classical dressing method and various approaches to quantum systems will be studied. A fundamental issue is a classification of algebraic and differential reductions "inside" the integrable systems which have been constructed.
Click here to download the programme's final scientific report
Title | Year | Programme | |
---|---|---|---|
Projectively equivalent Riemannian metrics on the torusAuthors: Vladimir Matveev |
2001 | ITS | 21 October 2016 |
Multidimensional Schrödinger equations with Abelian potentialsAuthors: Chris Eilbeck, Victor Enolskii, ET Al, VM Buchstaber |
2001 | ITS | 21 October 2016 |
Reflectionless analytic difference operators III. Hilbert space aspectsAuthors: SNM Ruijsenaars |
2001 | ITS | 21 October 2016 |
On the initial-boundary value problem for soliton equationsAuthors: Antonio Degasperis, Sergei Manakov, Paolo Maria Santini |
2001 | ITS | 21 October 2016 |
Lie point symmetries and commuting flows for equations on latticesAuthors: Pavel Winternitz, D Levi |
2001 | ITS | 21 October 2016 |
A new integrable equation with peakon solutionsAuthors: DD Holm, Andrew Hone, Antonio Degasperis |
2001 | ITS | 21 October 2016 |
Nonlinear dynamics on the plane and integrable hierarchies of infinitesimal deformationsAuthors: L Martinez Alonso, Boris Konopelchenko |
2001 | ITS | 21 October 2016 |
Reductions and hodograph solutions of dispersionless KP hierarchyAuthors: L Martinez Alonso, Elena Medina, Manuel Manas |
2001 | ITS | 21 October 2016 |
Tau-functions and special solutions in a coupled Painlevé systemAuthors: Andrew Hone |
2001 | ITS | 21 October 2016 |
24 July 2001 to 31 July 2001
12 August 2001 to 25 August 2001
2 September 2001 to 15 September 2001
16 September 2001 to 18 September 2001
16 November 2001 to 17 November 2001
30 November 2001 to 30 November 2001
2 December 2001 to 8 December 2001
17 December 2001 to 18 December 2001
Friday 3rd August 2001 | |||
---|---|---|---|
14:00 to 15:00 |
Jan Sanders Vrije Universiteit Amsterdam |
Discussion Room |
Monday 6th August 2001 | |||
---|---|---|---|
14:00 to 15:00 |
Vladimir Zakharov |
Room 1 |
Wednesday 8th August 2001 | |||
---|---|---|---|
14:00 to 15:00 |
Transient vortex events and the initial value problem for turbulence |
Room 1 |
Wednesday 29th August 2001 | |||
---|---|---|---|
15:00 to 16:00 |
Yuji Kodama Ohio State University |
Room 2 |
Friday 31st August 2001 | |||
---|---|---|---|
15:00 to 16:00 |
Boris Konopelchenko |
Room 2 |
Wednesday 19th September 2001 | |||
---|---|---|---|
15:00 to 16:00 |
Integrable difference geometry vs integrable differential geometry: The discrete ``Lame system" |
Room 1 |
Monday 24th September 2001 | |||
---|---|---|---|
15:00 to 16:00 |
Luis Martinez-Alonso |
Room 2 |
Monday 1st October 2001 | |||
---|---|---|---|
15:00 to 16:00 |
Reflectionless self-adjoint difference operators: from discrete to analytic |
Room 1 |
Wednesday 3rd October 2001 | |||
---|---|---|---|
15:00 to 16:00 | Room 1 |
Monday 8th October 2001 | |||
---|---|---|---|
15:00 to 16:00 |
Hermann Flaschka |
Room 1 |
Wednesday 10th October 2001 | |||
---|---|---|---|
15:00 to 16:00 | Room 1 |
Monday 15th October 2001 | |||
---|---|---|---|
15:00 to 16:00 |
Whitham equations, Bergman kernel and logarithmic potential theory |
Room 1 |
Wednesday 17th October 2001 | |||
---|---|---|---|
11:00 to 12:00 |
Victor Enolskii |
Room 1 |
Thursday 18th October 2001 | |||
---|---|---|---|
11:00 to 12:00 | Room 2 |
Monday 22nd October 2001 | |||
---|---|---|---|
15:00 to 16:00 |
Vassilios Rothos University of Leeds/University of Loughborough |
Room 1 |
Wednesday 24th October 2001 | |||
---|---|---|---|
11:00 to 12:00 |
John Gibbons Imperial College London |
Room 1 |
Monday 29th October 2001 | |||
---|---|---|---|
15:00 to 16:00 |
Differential-difference KP equation: solutions through Sato approach |
Room 2 |
Wednesday 31st October 2001 | |||
---|---|---|---|
11:00 to 12:00 |
Serguei Tsarev |
Room 1 |
Monday 5th November 2001 | |||
---|---|---|---|
15:00 to 16:00 |
Andrei Kapaev |
Room 1 |
Wednesday 7th November 2001 | |||
---|---|---|---|
11:00 to 12:00 | Room 1 |
Monday 12th November 2001 | |||
---|---|---|---|
15:00 to 16:00 |
Andrei Pogrebkov Steklov Mathematical Institute, Russian Academy of Sciences |
Room 1 |
Wednesday 14th November 2001 | |||
---|---|---|---|
11:00 to 12:00 |
Victor Novokshenov Pereslavl-Zalessky of the Russian Academy of Sciences |
Room 1 | |
14:00 to 15:30 | Discussion Room |
Monday 19th November 2001 | |||
---|---|---|---|
15:00 to 16:00 |
Yura Brezhnev |
Room 2 |
Wednesday 21st November 2001 | |||
---|---|---|---|
11:00 to 12:00 | Room 1 |
Monday 26th November 2001 | |||
---|---|---|---|
10:00 to 11:00 | Room 1 | ||
11:30 to 12:30 |
Atsushi Matsuo |
Room 1 | |
14:30 to 15:30 | Room 1 | ||
15:45 to 16:45 | Room 1 |
Tuesday 27th November 2001 | |||
---|---|---|---|
10:00 to 11:00 | Room 1 | ||
11:30 to 12:30 |
Mikhail Feigin Loughborough University |
Room 1 | |
14:30 to 15:30 | Room 1 | ||
16:00 to 17:00 |
Atsushi Matsuo |
Room 1 |
Wednesday 28th November 2001 | |||
---|---|---|---|
10:00 to 11:00 | Room 1 | ||
11:30 to 12:30 |
Yuri Berest Cornell University |
Room 1 | |
14:30 to 15:30 |
Pavel Etingof Acclarogen Limited |
Room 1 | |
16:00 to 17:00 |
Sergei Barannikov |
Room 1 |
Thursday 29th November 2001 | |||
---|---|---|---|
10:00 to 11:00 |
Sergei Barannikov |
Room 1 | |
11:30 to 12:30 |
Pavel Etingof Acclarogen Limited |
Room 1 | |
14:30 to 15:30 |
Atsushi Matsuo |
Room 1 | |
16:00 to 17:00 | Room 1 |
Wednesday 5th December 2001 | |||
---|---|---|---|
15:00 to 17:00 |
Martin Kruskal |
Discussion Room |
Monday 10th December 2001 | |||
---|---|---|---|
15:00 to 16:30 |
John Elgin Imperial College London |
Room 2 |
Wednesday 12th December 2001 | |||
---|---|---|---|
11:00 to 12:30 |
Manuel Manas Universidad Complutense de Madrid |
Room 2 |
Thursday 13th December 2001 | |||
---|---|---|---|
14:00 to 15:00 |
Serguei Tsarev |
Room 2 | |
15:00 to 15:30 |
Vladimir Matveev Université de Bourgogne |
Room 2 |
Wednesday 19th December 2001 | |||
---|---|---|---|
11:00 to 12:30 |
Perturbative symmetry approach and integrability conditions for non- local equations |
Room 1 |
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