Poisson geometry is the geometry of manifolds equipped with a Poisson bracket, which is an algebraic structure on
their space of smooth functions. Many naturally occurring spaces, like phase-spaces in mechanics and the dual of any
Lie algebra, have canonical Poisson brackets.

Poisson brackets were discovered by Siméon
Denis Poisson, while working on celestial mechanics. Recently, Poisson
geometry has developed rapidly due to new and exciting results related to classification
of Poisson brackets, deformation quantization, topological invariants and differential equations occurring in
mathematical physics. New connections with other areas of mathematics and mathematical physics have given rise to
fruitful interactions, advanced our knowledge, and have proved useful in applications.

This
4^{th} conference on Poisson Geometry and related areas (1998: Warsaw,
Poland; 2000: Luminy, France; 2002: Lisbon, Portugal) will focus on Poisson
structures and generalizations, notions of equivalence, normal forms, Hamiltonian
systems and generalized moment maps, Poisson Lie groups,
Poisson groupoids and dynamical Poisson groupoids, Poisson homogeneous and
symmetric spaces, Lie and Courant algebroids, deformation quantization.

Contact: poncinP2004@cu.lu

Last update: June 27, 2003 |