Théories asymptotiques et équations de Painlevé

01-05 June, 2004

10:00-10:30 Greetings

10:30-11:30 Alexander ITS (Indianapolis, U.S.A)
Painlevé transcendents and random matrices.

12:00-13:00 Alexander KITAEV (St. Petersburg, Russia)
Selected Topics in Asymptotic Mosaic for Painlevé Equations.

14:45-15:45 Kazuo OKAMOTO (Tokyo, Japan)
The Painlevé systems and the Garnier systems.

16:15-17:15 Davide GUZZETTI (Japan)
The elliptic representation of the 6th Painlevé equation.

17:45-18:45 Yoshitsugu TAKEI (Kyoto, Japan)
Hierarchies of Painlevé equations and exact WKB analysis.

9:00-10:00 Alfred RAMANI (Ecole Polytechnique, France)
Discrete Painlevé equations.

10:30-11:30 Alexei BORODIN (Pennsylvania, U.S.A.)
Isomonodromy transformations of difference equations and discrete Painlevé equations.

2:00-13:00 Changgui ZHANG (Lille, France)
Sur une algèbre de fonctions asymptotiques q-Gevrey.

14:45-15:45 Michio JIMBO (Tokyo, Japan)
Form factors and representation theory of quantum affine algebras.

16:15-17:15 Nalini JOSHI (Sydney, Australia)
Hunting nonlinear mathematical butterflies.

17:45-18:45 Jacques SAULOY (Toulouse, France)
Isomonodromy for q-difference equations.

9:00-10:00 Marta MAZZOCCO (Cambridge, UK)
On the second Painlevé hierarchy.

10:30-11:30 Bernard MALGRANGE (Grenoble, France)
Déformations isomonodromiques et fonction Tau.

12:00-13:00 Hiroshi UMEMURA (Nagoya, Japan)
Some questions related with the Painlevé equations;

9:00-10:00 Pierre van MOERBEKE (Louvain, Belgium)
Distributions statistiques en combinatoire, modèles matriciels et équations de Painlevé.

10:30-11:30 Boris DUBROVIN (Trieste, Italy)
Riemann-Hilbert problem and quantum canonical transformations.

12:00-13:00 Philippe Di FRANCESCO (CEA Saclay, France)
Geodesic distance in planar graphs: exact results via solitons.

14:45-15:45 Katsunori IWASAKI (Fukuoka, Japan)
Dynamics of the sixth Painlevé equation.

16:15-17:15 Masatoshi NOUMI (Kobe, Japan)
Elliptic difference Painlevé equation and its hypergeometric solutions.

17:45-18:45 Robert CONTE (CEA Saclay, France)
Completeness of the cubic and quartic Hénon-Heiles Hamiltonians.

9:00-10:00 Juan MORALES RUIZ (Barcelona, Spain)
A remark about the Painlevé transcendents.

10:15-11:15 Philip BOALCH (CNRS Paris, France)
Painlevé equations and complex reflections.

11:45-12:45 Peter CLARKSON (Canterbury, U.K.)
Rational solutions and associated special polynomials for the Painlevé equations.

Shoji Okumura (Osaka, Japan)
Seld-dual metrics and the Painlevé equations

Kazuo Kaneko (Osaka, Japan)
A new solution of the Painlevé IV and V with a solvable monodromy