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 4th 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.
|Last update: June 27, 2003|