Indam intensive period New connections between dynamical systems and Hamiltonian PDEs NAPOLI, April 1- June 6, 2009

Download from here the announcement and post it around!

The intensive period is thought as an up to date introduction to the fascinating field of Hamiltonian Partial Differential Equations, up to the most challenging research open problems in this field. The study of this field requires tools of Dynamical Systems, KAM theory, Nash-Moser implicit function theory, Cauchy problems for PDEs, Variational Methods, local and global Bifurcation Theory.

See also the previous shorter summer school on Hamiltonian PDE's and Variational Method held in September, 2008.

The period is organized in three different phases:

Period 1, from the beginning of April to mid-May: Introduction

From the beginning of April to mid-May there will be seminars and introductory short courses. This part will take place in the Dipartimento di Matematica e Applicazioni R. Caccioppoli of the Università Federico II in Napoli.

Confirmed lectures and speakers are Pietro Baldi, Luca Biasco, Philippe Bolle, Piero D'Ancona, Amadeu Delshams, Ivar Ekeland, Dino Fortunato, Guido Gentile, Gérard Iooss, Andrea Malchiodi, Alessandro Portaluri, Michela Procesi, Alfonso Sorrentino, Fabio Zanolin.

Period 2, May 18-30: Advanced School

In the last two weeks of May (May 18-30) there will be more concentrated and advanced courses. This part will take place in the old center of Napoli, on the prestigious premises of the Società Nazionale di Scienze, Lettere e Arti in Napoli.

The planned courses are:

• James Colliander (University of Toronto, Toronto, Canada): Maximal-in-time dynamics for nonlinear Schrödinger equations, May 25-29
• Norman Dancer (University of Sydney, Sidney, Australia): Local and global bifurcation for nonlinear mappings and applications, May 25-29
• Lars-Hakan Eliasson (Paris VII, Paris, France): Quasi-periodic Schrödinger operators, May 18-22
• Patrick Gerard (Paris-Sud, Paris, France): The Cauchy Problem for Weakly Dispersive Nonlinear Schrödinger Equations, May 25-29
• Thomas Kappeler (ETH Zurich, Switzerland), Jürgen Pöschel (University of Stuttgart, Germany): Normal form theory of the defocusing nonlinear Schrödinger equation, May 18-22
• Sergei B. Kuksin (École Polytechnique, Palaiseau, France): KAM for PDEs, May 25-29
• Eduard J. Zehnder (ETH Zurich): Periodic orbits of Hamiltonian systems and symplectic invariants, May 18-22

June 1-5: Final Workshop

In the first week of June there will be a workshop in the Costiera Amalfitana. The speakers who have already accepted are D. Bambusi, V. Benci, F. Calogero, Cheng Chong-Qing, L. Chierchia, J. Colliander, W. Craig, D. Dolgopyat, R. de la Llave, G. Gallavotti, J. Geng, V. Georgiev, B. Grébert, M. Groves, V. Y. Kaloshin, A. Kiselev,L. Stolovich, S. Terracini, J. Toland, C. Viterbo, S. Volberg, W.M. Wang, Xiaoping Yuan, J. You.

We have some funds to support living expenses for young PhD students and post doc. If you need it, write to Michela Procesi (michela.procesi unina.it) attaching a short CV. The deadline is March 1, 2009.

D. Bambusi (Milano), M. Berti (Napoli), V. Coti Zelati (Napoli), W. Craig (McMaster), S. Kuksin (École Polythecnique, Paris), C.E. Wayne (Boston).

Last modified March 30, 2009