Recent and Future developments in Hamiltonian Systems:theory and applications

May 24-27 2005 Institut Henri Poincaré

Amphitéatre HERMITE


Tuesday May 24
9:00-10:00 Gallavotti, Giovanni
Lindstedt series and their divergent subseries
10:00-10:30 Coffee break
10:30-11:30 Khanin, Kostya
Renormalizations, multi-dimensional continued fractions and KAM theory
11:30-12:30 Kuksin, Sergei
On damped-driven Hamiltonian PDE
12:30-14:30 Lunch
14:30-15:30 Bambusi, Dario
Birkhov normal form for tame Hamiltnian PDEs
15:30-16:30 Gomes, Diogo Aguiar
A variational formulation for the Navier-Stokes equation
16:30-17:00 Coffee break
17:00-18:00 Gentile, Guido
Stability for quasi-periodically perturbed Hill's equations


Wednesday May 25
9:00:10:00 Pöschel, Jürgen
On the Well-Posedness of KdV in Weighted Sobolev Spaces
10:00-10:30 Coffee break
10:30-11:30 Hamenstadt, Ursula
Dynamical properties of the Teichmueller geodesic flow
11:30-12:30 Zorich, Anton
Closed trajectories on flat surfaces corresponding to quadratic differentials
12:30-14:00 Lunch
14:00-16:00 Free, but check this out:
Avila, Artur. Cours Peccot au Collège de France (3 rue d'Ulm)
16:00-16:30 Coffee break
16:30-17:30 Fathi, Albert
Sard, Whitney, Assouad and Mather


Thursday May 26
9:00-10:00 Livi, Roberto
Anomalous heat transport in low-dimensional systems
10:00-10:30 Coffee break
10:30:11:30 Posh, Harald
Tangent-space dynamics of many-body systems
11:30-12:30 MacKay, Robert
Ergodic space-time implies Hubble's law
12:30-14:30 Lunch
14:30-15:30 Yoccoz, Jean-Christophe
Diophantine conditions for interval exchange maps
15:30-16:30 Gidea, Mariam
Topological methods in the instability problem of Hamiltonian systems
16:30-17:00 Coffee break
17:00-18:00 Iturriaga, Renato
On the Stochastic Aubry Mather


Friday May 27
9:00-10:00 Bunimovich, Leonid
Some Billiard News
10:00-10:30 Coffee break
10:30-11:30 Peter, Balint
Hyperbolic, ergodic and statistical properties of certain soft billiards
11:30-12:30 Wojtkowski, Maciej
Jacobi fields, symmetries and hyperbolic billiards
12:30-14:30 Lunch
14:30-15:30 Dolgopyat, Dmitry
Averaging in systems with periodic fast motion
15:30-16:30 Szasz, Domokos
Slightly superdiffusive dynamical motion
16:30-17:00 Coffee break
17:00-18:00 Eliasson, Hakan
KAM for the non-linear Schrödinger equation

All Talks are of 45 minutes + questions and discussions.