Videos and presentation materials from other INI events are also available.
Event  When  Speaker  Title 

ITSW01 
25th July 2001 09:00 to 09:05 
Welcome from the Director, Professor HK Moffatt  
ITSW01 
25th July 2001 09:05 to 09:30 
A Degasperis  Collisions between one and two dimensional solitons 
ITSW01 
25th July 2001 09:30 to 09:55 
Bispectrality for maxtrix differential equations  
ITSW01 
25th July 2001 09:55 to 10:20 
AK Pogrebkov  On the twodimensional inverse scattering for the perturbed 1soliton potentials 
ITSW01 
25th July 2001 10:20 to 10:45 
Integrable and nonintegrable evolution equations possessing lots of periodic trajectories:analytical theory  
ITSW01 
25th July 2001 11:10 to 11:35 
Numerical simulation of the motion of an(integrable \& nonintegrable) system of interacting rotators in the plane  
ITSW01 
25th July 2001 11:35 to 12:00 
Applications of inverse scattering to some finite dimensional integrable systems  
ITSW01 
25th July 2001 12:00 to 12:25 
Two dimensional CalogeroMoser model  
ITSW01 
25th July 2001 14:00 to 14:25 
Normal forms for nonlinear resonance of embedded solitons  
ITSW01 
25th July 2001 14:25 to 14:50 
Periodic solutions of nonautonomous second order differential inclusions systems  
ITSW01 
25th July 2001 14:50 to 15:15 
On equations solvable by the inverse scattering method  
ITSW01 
25th July 2001 15:45 to 16:10 
Symmetries and exact solutions of the SchwarzKorteweg de Vries equation  
ITSW01 
25th July 2001 16:10 to 16:35 
A criterion of separability for natural hamiltonian systems  
ITSW01 
25th July 2001 16:35 to 17:00 
Driven Newton equations and timedependent separable potentials  
ITSW01 
25th July 2001 17:00 to 17:25 
Conserved densities and generalised symmetries of nonlinear differentialdifference equations  
ITSW01 
25th July 2001 17:25 to 17:50 
Integrable systems and number theory  
ITSW01 
25th July 2001 17:50 to 18:15 
Prolongations of vector fields and invariants by derivation  
ITSW01 
26th July 2001 09:00 to 09:25 
TBA  
ITSW01 
26th July 2001 09:25 to 09:50 
V Sokolov  A new integrable case for the Kirchhoff equations 
ITSW01 
26th July 2001 09:50 to 10:15 
TBA  
ITSW01 
26th July 2001 10:15 to 10:40 
The period map for pulse propagation in nonlinear optical dm fibres  
ITSW01 
26th July 2001 11:10 to 11:35 
R Bullough  Quantum integrable \& nonintegrable nonlinear Schroedinger models for realisable BoseEinstein condensation in n+1 dimensions (n= 1, 2, 3) 
ITSW01 
26th July 2001 11:35 to 12:00 
Modeling and analyzing fluid dynamics in the EulerPoincar\'{e} framework  
ITSW01 
26th July 2001 12:00 to 12:25 
L Friedland  From solar system to solitons and vortices: pattern formation by synchronisation 
ITSW01 
26th July 2001 14:00 to 14:25 
Dynamics of the bubble expansion in a metastable medium  
ITSW01 
26th July 2001 14:25 to 14:50 
V Koutvisky  The structure of singularities arising in the course of the Newtonian collapse of dustlike matter 
ITSW01 
26th July 2001 14:50 to 15:15 
Asymptotic analysis of the autoresonance phenomenon  
ITSW01 
26th July 2001 15:45 to 16:10 
On semiclassical limit of the focusing NLS with pure radiation initial data  
ITSW01 
26th July 2001 16:10 to 16:35 
Pfaffian Hierarchies  
ITSW01 
26th July 2001 16:35 to 17:00 
H Heredero  Integrable fully nonlinear evolution equations 
ITSW01 
26th July 2001 17:00 to 17:25 
The unreasonable effectiveness of integrable models. Connection to the topological field theory  
ITSW01 
26th July 2001 17:25 to 17:50 
Integrable models related to Frobenius manifolds  
ITSW01 
27th July 2001 09:00 to 09:25 
Solutions of the dispersionless KP hierarchy and quasiconformal maps  
ITSW01 
27th July 2001 09:25 to 09:50 
S Agafonov  Imbedded circle patterns with the combinatorics of the square grid and discrete Painlev\'e equations 
ITSW01 
27th July 2001 09:50 to 10:15 
Asymptotic nets, their discretisation and reductions  
ITSW01 
27th July 2001 10:15 to 10:40 
R Balakhrishnan  Moving curves and soliton equations: some new results 
ITSW01 
27th July 2001 11:10 to 11:35 
Invariant description of solutions of hydrodynamic type systems in hodograph space: hydrodynamic surfaces  
ITSW01 
27th July 2001 11:35 to 12:00 
Compatible flat metrics and integrable reductions of the Lam\'e equations  
ITSW01 
27th July 2001 12:00 to 12:25 
J Sanders  Integrable systems and Riemannian manifolds with constant curvature 
ITSW01 
27th July 2001 14:00 to 14:25 
Dispersionless integrable hierarchies and the quasiclassical dbar dressing method  
ITSW01 
27th July 2001 14:25 to 14:50 
E Medina  Reductions and hodograph solutions of the dispersionless KP hierarchy 
ITSW01 
27th July 2001 14:50 to 15:15 
Bourlet integrability of the Nreductions of the dispersionless KP hierarchy  
ITSW01 
27th July 2001 15:45 to 16:10 
Integrable systems in nullK\"ahler geometry  
ITSW01 
27th July 2001 16:10 to 16:35 
Solitons and almostintertwining matrices  
ITSW01 
27th July 2001 16:35 to 17:00 
H Kakuhata  Rotating loop soliton of the coupled dispersionless equations 
ITSW01 
27th July 2001 17:00 to 17:25 
On the use of the Lie group machinery for establishing conditions for asymptotic integrability  
ITSW01 
27th July 2001 17:25 to 18:15 
From Burgers equation to linear differencedifferential equations  
ITSW01 
27th July 2001 19:30 to 18:00 
Poster session discussion  
ITSW01 
28th July 2001 09:00 to 09:25 
TBA  
ITSW01 
28th July 2001 09:25 to 09:50 
Algebrogeometric Approach to the Ernst equation  
ITSW01 
28th July 2001 09:50 to 10:15 
V Enolskii  On the trigonal Abelian functions 
ITSW01 
28th July 2001 10:15 to 10:40 
Algebrogeometric solution of the RiemannHilbert problem for a class of nonhyperelliptic curves  
ITSW01 
28th July 2001 11:10 to 11:35 
P Grinevich  Approximation theorem for the focusing periodic nonlinar Schrodinger equation and the filament equation 
ITSW01 
28th July 2001 11:35 to 12:00 
The geometry of the classical solutions of the Garnier systems  
ITSW01 
28th July 2001 14:00 to 14:25 
Some remarks on separation of variables for Lax and bihamiltonian systems  
ITSW01 
28th July 2001 14:25 to 14:50 
BiHamiltonian aspects of the Neumann system  
ITSW01 
28th July 2001 14:50 to 15:15 
Recursion operator of evolution equations having polynomial and rational Lax representation  
ITSW01 
28th July 2001 15:45 to 16:10 
On the invariant separated variables  
ITSW01 
28th July 2001 16:10 to 16:35 
Lie symmetries of multidimensional difference equations and lattices  
ITSW01 
28th July 2001 16:35 to 17:00 
Homoclinic orbits for the double discrete sineGordon equation  
ITSW01 
28th July 2001 17:00 to 17:25 
Integration of Hamiltonians with generalized cubic and quartic potentials  
ITSW01 
28th July 2001 17:25 to 17:50 
Higher analogies of Painlev\'e equations and their properties  
ITSW01 
28th July 2001 17:50 to 18:15 
TBA  
ITSW01 
30th July 2001 09:00 to 09:25 
General theory of the canonical B\"acklund transformations  
ITSW01 
30th July 2001 09:25 to 09:50 
P Estevez  Separation of variables of a generalised porous medium equation with nonlinear source 
ITSW01 
30th July 2001 09:50 to 10:15 
R Conte  The two sequences of birational transformations of the Painlev\'e equations 
ITSW01 
30th July 2001 10:15 to 10:40 
On the positivity of solutions for dissipative partial differential equations  
ITSW01 
30th July 2001 11:10 to 11:35 
N Joshi  New Painlev\'e hierarchies 
ITSW01 
30th July 2001 11:35 to 12:00 
O Costin  Equivalent of the Painlev\'e property for difference equations and study of their solvability 
ITSW01 
30th July 2001 12:00 to 12:25 
A new family of four dimensional symplectic and integrable mappings  
ITSW01 
30th July 2001 14:00 to 14:25 
Topology of the isospectral manifolds of finite and periodic Toda lattices  
ITSW01 
30th July 2001 14:25 to 14:50 
Duality in random matrices and biorthogonal polynomials  
ITSW01 
30th July 2001 14:50 to 15:15 
R Ivanov  On the dressing method for the generalised ZakharovShabat system 
ITSW01 
30th July 2001 15:45 to 16:10 
Hilbert formulation of spectral problem on the semiline, applications to SRS and sineGordon  
ITSW01 
30th July 2001 16:10 to 16:35 
Two dimensional PDEs in polygonal domains  
ITSW01 
30th July 2001 16:35 to 17:00 
Stefan problems for continuous and discrete models  
ITSW01 
30th July 2001 17:00 to 17:25 
S Manakov  Initialboundary value problems for soliton equations 
ITSW01 
30th July 2001 17:25 to 17:50 
S Boscolo  Stable selfsimilar parabolic optical solitary waves 
ITSW01 
30th July 2001 17:50 to 18:05 
On the Dubrovin equations and the trace formulae for the Finitegap potentials  
ITS 
3rd August 2001 14:00 to 15:00 
On the application of number theory to integrable systems  
ITS 
6th August 2001 14:00 to 15:00 
Spaces of diagonal curvature and nwave systems  
ITS 
8th August 2001 14:00 to 15:00 
Transient vortex events and the initial value problem for turbulence  
ITSW02 
13th August 2001 09:00 to 10:00 
A Mikhailov  Introduction: What is Integrability? 
ITSW02 
13th August 2001 10:00 to 11:00 
SP Novikov  Discrete integrable systems and discrete symmetries 
ITSW02 
13th August 2001 11:30 to 12:30 
The Painlev\'e property and the polyPainlev\'e test  
ITSW02 
13th August 2001 14:00 to 15:00 
A Degasperis  Multiscale expansion and integrability of dispersive wave equations 
ITSW02 
13th August 2001 16:00 to 17:00 
On some integrable and nonintegrable equations  
ITSW02 
14th August 2001 09:00 to 10:00 
A Shabat  Classical heirarchies of integrable equations 
ITSW02 
14th August 2001 10:00 to 11:00 
A Degasperis  Multiscale expansion and integrability of dispersive wave equations 
ITSW02 
14th August 2001 11:30 to 12:30 
Tutorial on multiscale expansion  
ITSW02 
14th August 2001 14:00 to 15:00 
V Sokolov  Integrability of finite dimensional dynamical systems 
ITSW02 
14th August 2001 15:30 to 16:30 
Antiseldduality and integrability  
ITSW02 
14th August 2001 16:30 to 17:30 
The Painlev\'e property and the polyPainlev\'e test  
ITSW02 
15th August 2001 09:00 to 10:00 
S Novikov  Discrete integrable systems and discrete symmetries 
ITSW02 
15th August 2001 10:00 to 11:00 
A Shabat  Dressing chains and darboux transformations 
ITSW02 
15th August 2001 11:30 to 12:30 
Twistor theory and integrability  
ITSW02 
15th August 2001 14:00 to 15:00 
A Mikhailov  Symmetries and conservation laws  Formal recursion operators 
ITSW02 
15th August 2001 15:30 to 16:30 
Tutorial on the Painlev\'e property  
ITSW02 
15th August 2001 16:30 to 17:30 
A Degasperis  Multiscale expansion and integrability of dispersive wave equations 
ITSW02 
16th August 2001 09:00 to 10:00 
A Mikhailov  Necessary conditions for integrability 
ITSW02 
16th August 2001 10:00 to 11:00 
S Novikov  Discrete integrable systems and discrete symmetries 
ITSW02 
16th August 2001 11:30 to 12:30 
Tutorial on formal recursion operators and canonical conservation laws  
ITSW02 
16th August 2001 14:00 to 15:00 
The Painlev\'e property and the polyPainlev\'e test  
ITSW02 
16th August 2001 15:30 to 16:30 
Discussion/problem solving  
ITSW02 
16th August 2001 16:30 to 17:30 
Number theory and the symmetry classification of integrable systems  
ITSW02 
17th August 2001 09:00 to 10:00 
Hirota's bilinear method and its connection with integrability  
ITSW02 
17th August 2001 10:00 to 11:00 
Multidimensional perturbation theory  
ITSW02 
17th August 2001 11:30 to 12:30 
Tutorial on discrete integrable systems and symmetries  
ITSW02 
17th August 2001 14:00 to 15:00 
Normal forms and solitons  
ITSW02 
17th August 2001 15:30 to 16:30 
Discussion/problem solving  
ITSW02 
17th August 2001 16:30 to 17:30 
Number theory and the symmetry classification of integrable systems  
ITSW02 
20th August 2001 09:00 to 10:00 
V Sokolov  Classification problem  main results 
ITSW02 
20th August 2001 10:00 to 11:00 
Normal forms and solitons  
ITSW02 
20th August 2001 11:30 to 12:30 
Tutorial  Transformations of PDE's  
ITSW02 
20th August 2001 14:00 to 15:00 
Hirota's bilinear method and its connection with integrability  
ITSW02 
20th August 2001 15:30 to 16:30 
Tutorial on Hirota's bilinear method  
ITSW02 
20th August 2001 16:30 to 17:30 
Number theory and the symmetry classifiction of integrable systems  
ITSW02 
21st August 2001 09:00 to 10:00 
Normal forms and solitons  
ITSW02 
21st August 2001 10:00 to 11:00 
Hirota's bilinear method and its connection with integrability  
ITSW02 
21st August 2001 11:30 to 12:30 
Tutorial on normal forms and solitons  
ITSW02 
21st August 2001 15:30 to 16:30 
Quantum integrable systems  
ITSW02 
21st August 2001 16:30 to 17:30 
Multidimensional perturbation theory  
ITSW02 
22nd August 2001 09:00 to 10:00 
Symmetry, the Chazy equation and Chazy hierarchies  
ITSW02 
22nd August 2001 10:00 to 11:00 
A Shabat  Integrable Lagrangian equations 
ITSW02 
22nd August 2001 11:30 to 12:30 
Tutorial on quantum integrable systems  
ITSW02 
22nd August 2001 14:00 to 15:00 
Representation theory and integrability  
ITSW02 
22nd August 2001 15:30 to 16:30 
PA Clarkson  The inverse scattering transform 
ITSW02 
22nd August 2001 16:30 to 17:30 
P Olver  MultiHamiltonian structures and integrability 
ITSW02 
23rd August 2001 09:00 to 10:00 
Multidimensional perturbation theory  
ITSW02 
23rd August 2001 10:00 to 11:00 
Symmetry, the Chazy equation and Chazy hierarchies  
ITSW02 
23rd August 2001 11:30 to 12:30 
Tutorial on symmetry and integrability  
ITSW02 
23rd August 2001 14:00 to 15:00 
P Winternitz  Superintegrability, multiseparability and exact solvability in quantum mechanics I 
ITSW02 
23rd August 2001 15:30 to 16:30 
Discussion/problem solving  
ITSW02 
23rd August 2001 16:30 to 17:30 
Quantum integrable systems  
ITSW02 
24th August 2001 09:00 to 10:00 
P Winternitz  Superintegrability, multiseparability and exact solvability in quantum mechanics II 
ITSW02 
24th August 2001 10:00 to 11:00 
P Olver  MultiHamiltonian structures and integrability 
ITSW02 
24th August 2001 11:30 to 12:30 
Tutorial on links  
ITSW02 
24th August 2001 14:00 to 15:00 
Quantum integrable systems  
ITSW02 
24th August 2001 15:30 to 16:30 
Representation theory and integrability  
ITSW02 
24th August 2001 16:30 to 17:30 
Final discussion  What is integrability?  
ITS 
29th August 2001 15:00 to 16:00 
Shallow water waves and normal forms  
ITS 
31st August 2001 15:00 to 16:00 
Nonlinear dynamics on the plane, dispersionless integrable hierarchies and the quasiclassical DBAR dressing method  
ITSW03 
3rd September 2001 10:00 to 11:00 
A new class of integrable quantum lattice systems  
ITSW03 
3rd September 2001 11:30 to 12:30 
On the zeros of the solitude BakerAkhiezer function for the Toda chain  
ITSW03 
3rd September 2001 15:00 to 16:00 
V Sokolov  Laplace transform and integrable hyperbolic equations of Liouville type 
ITSW03 
3rd September 2001 16:00 to 17:00 
Discussion  
ITSW03 
4th September 2001 09:00 to 10:00 
On the discrete dynamical systems with $W(A^{(1)}_1A^{(1)}_2)$ symmetry  
ITSW03 
4th September 2001 10:00 to 11:00 
qPainleve equations arising from a qversion of the modified KP heirarchy  
ITSW03 
4th September 2001 11:30 to 12:30 
The Painleve and discrete Painleve equations  nonlinear and discrete special functions  
ITSW03 
4th September 2001 15:00 to 16:00 
Backlund transformations for a new integrable system with peakons  
ITSW03 
4th September 2001 16:00 to 17:00 
Discussion  
ITSW03 
5th September 2001 09:00 to 10:00 
Discrete equations on planar graphs  
ITSW03 
5th September 2001 10:00 to 11:00 
A Shabat  Discretization of spectral problems 
ITSW03 
5th September 2001 11:30 to 12:30 
Discrete hydrodynamics and MongeAmpere equations  
ITSW03 
6th September 2001 09:00 to 10:00 
Menelaus' theorem, Clifford configurations and inversive geometry of the discrete Schwarzian KP equation  
ITSW03 
6th September 2001 10:00 to 11:00 
W Schief  Reciprocal figures, graphical statics and inversive geometry of the Schwarzian BKP hierarchy 
ITSW03 
6th September 2001 11:30 to 12:30 
Analytical methods inthe study of Integrable Discrete Geometries  
ITSW03 
6th September 2001 15:00 to 16:00 
M Nieszporski  A discrete laplace ladder, the discrete Moutard equation and its adjoint. Asymptotic lattices and discrete weingarten congruences 
ITSW03 
6th September 2001 16:00 to 17:00 
Discussion  
ITSW03 
7th September 2001 09:00 to 10:00 
V Kuznetsov  Kowalevski top revisited 
ITSW03 
7th September 2001 10:00 to 11:00 
On Algebraically integrable systems with deficiency  
ITSW03 
7th September 2001 11:30 to 12:30 
A variaional calculus for discursive systems with applications  
ITSW03 
7th September 2001 15:00 to 16:00 
Direct construction of conservation laws for difference equations  
ITSW03 
7th September 2001 16:00 to 17:00 
M Noumi & A Veselov  Discussion on birational represenations of affine Weyl groups 
ITSW03 
10th September 2001 09:00 to 10:00 
Integrable Mapping  
ITSW03 
10th September 2001 10:00 to 11:00 
JAG Roberts  Interchanging parameters and integrals in discrete dynamical systems 
ITSW03 
10th September 2001 11:30 to 12:30 
Integrable Mappings with quadratic or quartic invarients  
ITSW03 
10th September 2001 15:00 to 16:00 
Integrable lattice equations in 2D \& 3D posing initialboundary value problems  
ITSW03 
10th September 2001 16:00 to 17:00 
Discussion  
ITSW03 
11th September 2001 09:00 to 10:00 
C Viallet  Complexity, singularity and integrability of maps 
ITSW03 
11th September 2001 10:00 to 11:00 
Difference equations in the complex domain  
ITSW03 
11th September 2001 11:30 to 12:30 
MD Kruskal  Equivalent of the Painleve property for difference equations and study of their solvability 
ITSW03 
11th September 2001 15:00 to 16:00 
Tutorial on singularity confinements  
ITSW03 
11th September 2001 16:00 to 17:00 
Discussion  
ITSW03 
12th September 2001 09:00 to 10:00 
F Pempinelli  An Integrable discretization of kdV at large times 
ITSW03 
12th September 2001 10:00 to 11:00 
Integrable discretization of sine and sinhGordon equations: novelties and open problems  
ITSW03 
12th September 2001 11:30 to 12:30 
On recursion operators  
ITSW03 
13th September 2001 09:00 to 10:00 
Periodic box and ball systems  
ITSW03 
13th September 2001 10:00 to 11:00 
R Willox  Integrable lattices from Dtype algebras 
ITSW03 
13th September 2001 11:30 to 12:30 
F Nijhoff  On some integrable discrete systems related to elliptic curves 
ITSW03 
13th September 2001 15:15 to 16:00 
Functional equations, difference equations and integrable systems  
ITSW03 
13th September 2001 16:00 to 17:00 
Discussion  
ITSW03 
14th September 2001 09:00 to 10:00 
Lie Symmetries for multidimensional discrete systems  
ITSW03 
14th September 2001 10:00 to 11:00 
Topology of the affine variety of the real part of hyperelliptic jacobian associated with the periodic Toda Lattice  
ITSW03 
14th September 2001 11:30 to 12:30 
Final Discussion  
ITSW04 
17th September 2001 09:30 to 10:30 
Integrable systmes and CalabiYau manifolds  
ITSW04 
17th September 2001 10:30 to 11:30 
HyperKahler metrics and integrable systems  
ITSW04 
17th September 2001 12:00 to 13:00 
LJ Mason  Reductions of antiself dual conformal structures 
ITSW04 
17th September 2001 14:30 to 15:30 
Shlesinger systems, their reduction and classical solutions  
ITSW04 
17th September 2001 16:00 to 17:00 
Integrable Riemannien spaces and their application to physics and geometry  
ITSW04 
18th September 2001 09:15 to 10:15 
Integrable systems on 3spaces of constant curvature  
ITSW04 
18th September 2001 10:15 to 11:15 
Integrable background geometries in dimensions one to four  
ITSW04 
18th September 2001 11:45 to 12:45 
Twistors and isomonodromy  
ITSW04 
18th September 2001 14:30 to 15:30 
N Manton  Gauged Vortices  some exact results 
ITS 
19th September 2001 15:00 to 16:00 
Integrable difference geometry vs integrable differential geometry: The discrete ``Lame system"  
ITS 
24th September 2001 15:00 to 16:00 
The quasiclassical DBar method for the dispersionless KP hierarchy  
ITS 
1st October 2001 15:00 to 16:00 
Reflectionless selfadjoint difference operators: from discrete to analytic  
ITS 
3rd October 2001 15:00 to 16:00 
Lie symmetries and Hirota maps
In the first part of the talk I'll discuss an algebraic approach
to Lie symmetries which tries to build an analogy with differential Galois
theory. In the second half, I'll speak about the role of Hirotatype maps
in representation theory for sl(2) and sl(3).


ITS 
8th October 2001 15:00 to 16:00 
A search for actionangle coordinates  
ITS 
10th October 2001 15:00 to 16:00 
On a class of manybody problems in the plane (including integrable and nonintegrable cases) which possess a lot of periodic solutions
A class of manybody problems in the plane, characterised by translation and rotationinvariant Newtonian equations of motion (derivable from a Hamiltonian), and including both integrable and (presumably) nonintegrable cases, is shown to possess lots of completely periodic solutions (emerging from open sets of initial data having nonvanishing measure in phase space). The mechanism whereby this happens is elucidated; the light thereby shone on the connection among integrability and analyticity in (complex) time, as well as on the emergence of a chaotic behavior not associated with any local exponential divergence of trajectories in phase space, illuminates interesting phenomena of more general validity than for the particular model considered herein.


ITS 
15th October 2001 15:00 to 16:00 
Whitham equations, Bergman kernel and logarithmic potential theory
We show that the Bergman kernel, defined on hyperelliptic Riemann surfaces, solves two different variational problems. First we show that it provides the solution of the Whitham equations for KdV and NLS. Then we show that the equilibrium measure for logarithmic
potentials in the presence of an external field can be expressed in terms of the Bergman kernel.


ITS 
17th October 2001 11:00 to 12:00 
Periods of hyperelliptic integrals expressed in terms of $\theta$ constants by means of Thomae formulae
The expressions for the periods of first and second type integrals on hyperelliptic curve are given in terms of $\theta$constants. The principal tool of the derivation are Thomae formulae which link theta constants with branching points. Another ingredient of the derivation is the PicardFuchs equations for the hyperelliptic periods. The talk will survey some basic results in the theory of hyperelliptic functions.


ITS 
18th October 2001 11:00 to 12:00 
On a class of manybody problems in the plane (including integrable and nonintegrable cases) which possess a lot of periodic solutions
A class of manybody problems in the plane, characterised by translation and rotationinvariant Newtonian equations of motion (derivable from a Hamiltonian), and including both integrable and (presumably) nonintegrable cases, is shown to possess lots of completely periodic solutions (emerging from open sets of initial data having nonvanishing measure in phase space). The mechanism whereby this happens is elucidated; the light thereby shone on the connection among integrability and analyticity in (complex) time, as well as on the emergence of a chaotic behavior not associated with any local exponential divergence of trajectories in phase space, illuminates interesting phenomena of more general validity than for the particular model considered herein.


ITS 
22nd October 2001 15:00 to 16:00 
Homoclinic orbits for a modified KdV equation
We study the homoclinic structure of modified Kortewegde Vries equation under dissipative perturbations. The homoclinic orbits are constructed through the Backlund transformation of mKdV equation. For external parameters on a codimension 1 submanifold, the persistence of homoclinic solutions to periodic traveling waves is established through an argument which combines Mel'nikov method and the dynamics of the finite dimensional reduced system on the plane of periodic traveling waves.


ITS 
24th October 2001 11:00 to 12:00 
Solution methods for Benney's equations
Benney's equations can be written as a Vlasov equation for a distribution function f(x,p,t). In some special cases, the reductions described by Gibbons and Tsarev, the initial value problem can be solved. The general case is more problematic, though Geogjaev has sketched some important steps towards a solution. We study the relationships between
these constructions and with the dbar techniques used by Konopelchenko and Martinez Alonso.


ITS 
29th October 2001 15:00 to 16:00 
Differentialdifference KP equation: solutions through Sato approach  
ITS 
31st October 2001 11:00 to 12:00 
Explicit integration of classical series of exponential systems using the approach of DarbouxMoutardGoursat
We give the basic facts about the current state and different generalisations of the problem first studied by Gaspar Monge: given one (!) ODE for two (!) functions
is it possible to give its complete parametric solution where t is a new parameter, and u = u(t) is a new arbitrary function ? Recently problems of similar form found applications in optimal control ("flat systems of ODEs"). Obviously this problem also deserves attention in the framework of integrable systems. 

ITS 
5th November 2001 15:00 to 16:00 
A Kapaev 
Quasilinear Stokes phenomenon for the second Painlev\'e transcendent
Using the RiemannHilbert approach, we study the quasilinear Stokes phenomenon for the second Painlev\'e equation $y_{xx}=2y^3+xy\alpha$. The precise description of the exponentially small jump in the dominant solution approaching $\alpha/x$ as $x\to\infty$ is given. For the asymptotic power expansion of the dominant solution, the asymptotics of the coefficients is found.

ITS 
7th November 2001 11:00 to 12:00 
V Sokolov 
Compatible Lie brackets and integrable $\sigma$models
Two classes of integrable nonlinear systems of hyperbolic equations on semisimple Lie algebras are considered. All these systems are generalizations of the principle chiral model. Each of these systems is related to a pair of compatible Lie brackets. Lax representations for all systems, defined by decompositions of the Lie algebra of Laurant
series into a sum of two subalgebras are given. New examples of compatible brackets are presented.

ITS 
12th November 2001 15:00 to 16:00 
Inverse scattering transform for the perturbed 1soliton potential of the nonstationary Schroedinger and heat equations
The inverse scattering theory for the nonstationary Schroedinger and heat equations is generalised to include a special subclass of potentials nondecaying at space infinityperturbations of the onesoliton potential by means of decaying twodimensional
functions. Appropriate generalisations of the Jost solutions are introduced and their properties are investigated in detail. The singularity structure of these solutions is shown to be essentially more involved than in the standard case of rapidly decaying potential. Corresponding scattering data are introduced and their singularity structure is investigated as well. Formulation of the inverse problem is given as result of this study.


ITS 
14th November 2001 11:00 to 12:00 
Analytic representation of DMsolitons in the NLS equation
A simple exact formula is derived for the profile of the optical pulse propagating over a DM fibre with zero mean dispersion. The dissipation is neglected and dispersion is assumed to be constant along the adjacent legs of the waveguide, thus providing the applicability of the integrable NLS models within each leg. The formula describes a class of solutions
called dispersion managed solitons (DM solitons),which are periodic along the waveguide and exponentially localised in time.
DM solitons are parametrised by a certain class of spectral data, specified from numerical simulations. Using a related RiemannHilbert problem we reconstruct a profile of DM soliton from the given spectral data. For long enough legs the leading term of DM soliton is found in explicit form by "asymptotic undressing" of the RiemannHilbert problem. The analytical results are compared with numerical simulations. 

ITS 
14th November 2001 14:00 to 15:30 
Ecology workshop  
ITSW05 
16th November 2001 14:00 to 14:45 
About a new generation of algorithms for solving polynomial systems and some applications  
ITSW05 
16th November 2001 14:45 to 15:30 
AA Alexeyev  Multidimensional superposition principle and invariant manifolds of soliton type 
ITSW05 
16th November 2001 16:00 to 16:45 
Solving bilinear algebraic systems for the classification of integrable polynomial vector evolution equations  
ITSW05 
16th November 2001 16:45 to 17:30 
SP Tsarev  Integrability and factorisation of nonlinear and linearised differential equations 
ITSW05 
17th November 2001 09:00 to 09:45 
Overview and application in differential elimination algorithms  
ITSW05 
17th November 2001 09:45 to 10:30 
Some foundations for the algorthmic search for LieB\"acklund symmetries  
ITSW05 
17th November 2001 11:00 to 11:45 
R Tucker  An exterior systems approach 
ITSW05 
17th November 2001 11:45 to 12:30 
Symbolic computation of conversed densities, generalised symmetries and recursion operators for nonlinear evolution \& lattice equations  
ITSW05 
17th November 2001 14:00 to 14:30 
L Mansfield  On symbolic analysis for fluid dynamics 
ITSW05 
17th November 2001 14:30 to 14:45 
A new procedure to find nonclassical symmetries. Application to the MAPLE package DESOLV  
ITSW05 
17th November 2001 14:45 to 15:30 
On computerassisted classification of coupled integrable equations  
ITSW05 
17th November 2001 16:00 to 18:00 
Individual discussions between users and programmers of symbolic software using available computers and terminals  
ITS 
19th November 2001 15:00 to 16:00 
Uniformisation of algebraic curves: on the Burnside curve
We draw attention to the first and only example of an algebraic curve of genus g>1 (the Burnside curve) which has a complete parametrisation in terms of known special functions. As a byproduct of our consideration we get accessory parameters for the associated Fuchsian equation, its complete integral, and a few littleknown formulas in the theory of Weierstrass elliptic functions and series expansions for the meromorphic functions, parametrizing the Burnside curve.


ITS 
21st November 2001 11:00 to 12:00 
H Holden 
Algebrogeometric solutions of the CamassaHolm hierarchy
We provide a detailed treatment of the CamassaHolm hierarchy with special emphasis on algebrogeometric solutions. This is joint work with F. Gesztesy, Missouri.

ITS 
26th November 2001 10:00 to 11:00 
Algebraic properties of Hirota derivatives  
ITS 
26th November 2001 11:30 to 12:30 
A Matsuo  Vertex operator algebra and the moonshine module 
ITS 
26th November 2001 14:30 to 15:30 
V Buchstaber  Symmetric powers of algebraic varieties 
ITS 
26th November 2001 15:45 to 16:45 
V Enolski  Periods of hyperelliptic integrals and Thomae formulae 
ITS 
27th November 2001 10:00 to 11:00 
Bloch varieties for some twodimensional Lame operators  
ITS 
27th November 2001 11:30 to 12:30 
M Feigin  Quasiinvariants of Coxeter groups and mharmonic polynomials 
ITS 
27th November 2001 14:30 to 15:30 
A Mikhailov  Integrable ODE's on free associative algebras 
ITS 
27th November 2001 16:00 to 17:00 
A Matsuo  Vertex opterator alegbra and the moonshine module  part II 
ITS 
28th November 2001 10:00 to 11:00 
Noncommutative and quantum spheres: an overview  
ITS 
28th November 2001 11:30 to 12:30 
Y Berest  Geometry without points 
ITS 
28th November 2001 14:30 to 15:30 
P Etingof  Representations of the rational Cherednik algebra and alebraic integrability of CalogeroMoser systems I 
ITS 
28th November 2001 16:00 to 17:00 
Quantum periods and integrable hierarchies I  
ITS 
29th November 2001 10:00 to 11:00 
Quantum periods and integrable hierarchies II  
ITS 
29th November 2001 11:30 to 12:30 
P Etingof  Representations of the rational Cherednik algebra and algebraic integrability of CalogeroMoser systems II 
ITS 
29th November 2001 14:30 to 15:30 
A Matsuo  Vertex operator algebra and the moonshine module  part III 
ITS 
29th November 2001 16:00 to 17:00 
TBA  
ITSW06 
30th November 2001 13:30 to 14:20 
P Etingof  Symplectic reflection algebras and CoalogeroMoser systems ROOM W142 IN THE SIR DAVID DAVIES BUILDING, LOUGHBROUGH UNIVERSITY 
ITSW06 
30th November 2001 14:30 to 15:20 
G Wilson  Integrable systems and noncommutative projective geometry ROOM W142 IN THE SIR DAVID DAVIES BUILDING, LOUGHBROUGH UNIVERSITY 
ITSW06 
30th November 2001 16:10 to 17:00 
A Matsuo  Parafermion algebras and the monster ROOM W142 IN THE SIR DAVID DAVIES BUILDING, LOUGHBROUGH UNIVERSITY 
ITSW06 
30th November 2001 17:10 to 18:00 
Algebraric integrability, bispectrality and Macdonald conjectures ROOM W142 IN THE SIR DAVID DAVIES BUILDING, LOUGHBROUGH UNIVERSITY  
ITSW07 
3rd December 2001 09:30 to 10:15 
Exact results for selfavoiding loops and branched polymers  
ITSW07 
3rd December 2001 10:15 to 10:45 
Boundary integrability and the Josephson current through a Luttinger liquid  
ITSW07 
3rd December 2001 11:30 to 12:15 
Alternating sign matrices, stochastic processes and c=0 conformal invariance  
ITSW07 
3rd December 2001 13:45 to 14:30 
Backlund transformation for the BC Toda lattice  
ITSW07 
3rd December 2001 14:30 to 15:15 
Elliptic quantum groups and solvable lattice models  
ITSW07 
3rd December 2001 16:00 to 16:45 
V Kuznetsov  Simultaneous separation for the Kowalevski and GoryachevChaplygin top 
ITSW07 
3rd December 2001 16:45 to 17:15 
T Takebe  An integrable system on the moduli space of monopoles and its variants 
ITSW07 
4th December 2001 09:30 to 10:15 
Correlation functions of quantum integrable models  
ITSW07 
4th December 2001 10:15 to 10:45 
Aspects of locality in the form factor programme  
ITSW07 
4th December 2001 11:30 to 12:15 
Solving the boundary XXZ chain at roots of unity  
ITSW07 
4th December 2001 13:45 to 14:30 
Ordinary differential equations, integrable models and PTSymmetric quantum mechanics  
ITSW07 
4th December 2001 14:30 to 15:15 
Tensor products of representations of quantum affine algebras  
ITSW07 
4th December 2001 16:00 to 16:45 
G Watts  TBA 
ITSW07 
4th December 2001 16:45 to 17:15 
Superconductivity and charge density waves in a quasionedimensional spin gap system  
ITSW07 
5th December 2001 09:30 to 10:15 
B McCoy  Loop symmetry in the 6 vertex model 
ITSW07 
5th December 2001 10:15 to 10:45 
Bispectral duality in quantum models of RuisenaarsMacDonald type  
ITSW07 
5th December 2001 11:30 to 12:15 
N MacKay  Boundary scattering in the principal chiral model 
ITS 
5th December 2001 15:00 to 17:00 
MD Kruskal  Surreal numbers 
ITSW07 
6th December 2001 09:30 to 10:15 
F Smirnov  On the separation of variables in quantum integrable models related to U$_q$($\hat{s}l$$_N$) 
ITSW07 
6th December 2001 10:15 to 10:45 
Algebraic approach to the reflection equation  
ITSW07 
6th December 2001 11:30 to 12:15 
T Fokas  Mastersymmetries 
ITSW07 
6th December 2001 13:45 to 14:30 
Combinatorial structure of conformal blocks  
ITSW07 
6th December 2001 14:30 to 15:15 
Deformed W$_N$ algebra and Z algebra  
ITSW07 
6th December 2001 16:00 to 16:45 
On Baxter's eight vertex model and correlation functions  
ITSW07 
6th December 2001 16:45 to 17:15 
Constructions of classical dynamical rmatrices  
ITSW07 
7th December 2001 09:30 to 10:15 
Vacuum expectation values of the fields and classical solutions  
ITSW07 
7th December 2001 10:15 to 10:45 
B Pelloni  The Fokas transform method and spectral theory revisited 
ITSW07 
7th December 2001 11:30 to 12:15 
Exact finite size effects in SineGordon and SuperSineGordon  
ITSW07 
7th December 2001 13:45 to 14:30 
JM Evans  Symmetric spaces and hierarchies 
ITSW07 
7th December 2001 14:30 to 15:15 
Supersymmetric CalogeroMoserSutherland  
ITSW07 
7th December 2001 16:00 to 16:45 
Quantum CalogeroMoser models, integrability for all root systems  
ITSW07 
7th December 2001 16:45 to 17:15 
The Heun equation and the CalogeroMoserSutherland model  
ITSW07 
8th December 2001 09:30 to 10:15 
BL Feigen  Vertex algebras related to small quantum groups 
ITSW07 
8th December 2001 10:15 to 10:45 
Special solutions of Painlev\`e equations  
ITSW07 
8th December 2001 11:30 to 12:15 
Integrability and perturbation theory  
ITS 
10th December 2001 15:00 to 16:30 
Finite gap solutions of the vector nonlinear Schroedinger equation
Manakov first demonstrated integrability of the vector nonlinear Schroedinger equation (VNSE). Here, I will discuss difficulties which arise when addressing finite gap solutions to this equation. The algebraic curve associated with the VNSE is trigonal, rather than of the hypergeometric type obtained in the scalar problem.


ITS 
12th December 2001 11:00 to 12:30 
Reductions and hodograph solutions of the dispersionless KP hierarchy
A general scheme for analysing reductions of dispersionless integrable
hierarchies preserved. It is based on a method for determining the Sfunction by means
of a system of firstorder differential equations. Compatibility systems of nonlinear
partial differential equations of Bourlet type characterising both reductions and
hodograph solutions of the dKP hierarchy are obtained. Examples are given.


ITS 
13th December 2001 14:00 to 15:00 
SP Tsarev 
The Monge problem: does it really help to park your car?
We give the basic facts about the current state and different generalisations of the problem first studied by Gaspar Monge: given one (!) ODE for two (!) functions
is it possible to give its complete parametric solution where t is a new parameter, and u = u(t) is a new arbitrary function ? Recently problems of similar form found applications in optimal control ("flat systems of ODEs"). Obviously this problem also deserves attention in the framework of integrable systems. 
ITS 
13th December 2001 15:00 to 15:30 
Wronskian addition theorem for sine functions and isospectral deformations of DarbouxPoeshlTeller potentials  
ITSW08 
17th December 2001 09:30 to 11:00 
T Fokas  Differential forms, spectral theory and boundary value problems 
ITSW08 
17th December 2001 11:30 to 12:30 
Rigorous aspects of boundary value problems on the halfline  
ITSW08 
17th December 2001 14:00 to 15:00 
A naive method for solving the NLS equation on the semiline  
ITSW08 
17th December 2001 16:00 to 16:45 
BV problems for linear PDE's  
ITSW08 
17th December 2001 16:45 to 17:15 
S Kamvissis  Zero dispersion limit boundary value problems 
ITSW08 
18th December 2001 09:30 to 10:30 
Boundary value problems in timedependent domains  
ITSW08 
18th December 2001 10:30 to 11:30 
J Leon  The Dirichlet problem for sineGordon in the light cone 
ITSW08 
18th December 2001 11:45 to 12:30 
Y Antipov  The modified Helmholtz equation on the semistrip 
ITSW08 
18th December 2001 14:00 to 15:00 
D Crowdy  Explicit integral solutions for the plane elastostatic semistrip 
ITSW08 
18th December 2001 16:00 to 16:45 
Features of IST for KDV starting from the taxis  
ITS 
19th December 2001 11:00 to 12:30 
VS Novikov  Perturbative symmetry approach and integrability conditions for non local equations 