###Place and period

This summer school took place at the Faculté des Sciences et Techniques, Université de Nantes, from June, 22nd to July, 3rd, 2015. The organization committee is the following : Erwan Faou, Benoît Grébert, Eric Paturel

###Online material

Mini-courses and talks have been captured and are available online.

###Presentation of the field

If normal forms were initially used in a finite dimensional setting, for a better understanding of the long time behavior of dynamical systems, their extension to partial differential equations, especially in the nonlinear case, have led to important progresses during this last decade. More than useful tools, they put in light some characteristic phenomena in complex situations where nonlinearity play a fondamental rôle. The aim of this summer school is to show their great adaptability in various fields (Hamiltonian PDEs, fluid mechanics, numerical analysis), and to explain how it works, in a manner accessible to starting researchers.


  • Dario Bambusi (University of Milan)
  • Hakan Eliasson (University Paris 7)
  • Isabelle Gallagher (University Paris-Diderot)
  • Nader Masmoudi (Courant Institute)
  • Pierre Raphaël (University of Nice)
  • Nikolay Tzvetkov (University of Cergy-Pontoise)
  • Luis Vega (Bilbao University)


  • Massimiliano Berti (SISSA Trieste)
  • Rémi Carles (CNRS - University of Montpellier)
  • Thomas Duyckaerts (Paris 13 University)
  • Patrick Gérard (University Paris-Sud)
  • Zaher Hani (Georgia Institute of Technology)
  • Thomas Kappeler (University of Zürich)
  • Evelyne Miot (Ecole Polytechnique)
  • Tadahiro Oh (University of Edinburgh)
  • Daniel Peralta-Salas (ICMAT Madrid)
  • Michela Procesi (University Rome - La Sapienza)
  • Frédéric Rousset (University Paris-Sud)
  • Laurent Thomann (University of Nantes)
  • Nicolà Visciglia (University of Pisa)