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Centre Bernoulli
 Ecole Polytechnique Fédérale de Lausanne
  Place centrale > Faculté SB > Centre Interfacultaire Bernoulli

Jakob Bernoulli

Johann Bernoulli
Special Semester

Poisson Geometry and Momentum Maps
July 1 - December 31, 2008

Centre Interfacultaire Bernoulli - Lausanne

Nicolaus II Bernoulli
Daniel Bernoulli

Activities


Poisson 2008 - School
July 1-4

Poisson 2008 - Conference
July 7-11

Charles-Michel Marle
Public lecture (English)
Conférence publique (Français)
July 8

Moment Maps
Program and abstracts
Workshop poster
August 4-8

Workshop on Transverse Poisson Structures and Poisson Singularities
October 9-10

Higher Structures 2008 - Workshop
November 3-7


pg
The CIB is pleased to let you know that you will find the special volume for "Letters in Mathematical Physics" regarding the Poisson conference, July 2008 at EPFL Lausanne, on the following SpringerLink :

http://springerlink.com/content/100306/

Poisson geometry is a classical 19th century subject (going back to the work of Poisson, Lie, and Hamilton) which has experienced a tremendous development in the past decades. It is now at the crossroads of several areas of pure and applied mathematics such as differential geometry, the calculus of variations, noncommutative algebra, representation theory, geometric mechanics, symmetric Hamiltonian bifurcation theory, and structure preserving numerical algorithms.

Its impact on certain areas of theoretical physics and engineering has also been significant. Direct applications of Poisson geometry can be found nowadays in string theory, the theory of integrable systems, the theory of geometric phases, nonlinear control theory, nonholonomic mechanics, locomotion generation in robotics, and planetary mission design.

Simeon Denis Poisson


The fundamental structure of Poisson geometry goes back to classical mechanics on phase space. The properties of the Poisson bracket of functions are abstracted and set on a manifold. Symplectic manifolds and (pre)duals of Lie algebras are special cases of Poisson manifolds. The interest for the general case stems from the fact that this abstract framework is particularly suitable for dealing with symmetries, for understanding quantization, and for studying various infinite-dimensional mechanical systems.

The aim of the Poisson semester is to bring together leading scientists and young researchers from different areas of mathematics, physics, and engineering with a common interest in Poisson geometry, its applications and its related fields which include
  • Symmetries and momentum maps,
  • Geometric mechanics,
  • Lie algebroids and Lie groupoids,
  • Dirac geometry and generalized complex geometry,
  • Geometric quantization and deformation quantization,
  • Theory of integrable systems,
  • Theory of nonholonomic systems,
  • Gerbes and other higher structures.

Lecturers


Doctoral School Courses
Jiang-Hua Lu
Every Wednesday, from September 17th to December 17th 2008 from 3:45 to 5:00 PM

Seminars
Francesco Fasso
Wednesday October 8st, 2008 from 5:15 to 6:15 PM
Karl-Hermann Neeb
Wednesday October 22nd, 2008 from 5:15 to 6:15 PM
Cornelia Vizman
Wednesday November 19th, 2008 from 5:15 to 6:15 PM
Florent Schaffhauser
Wednesday December 10th, 2008 from 5:15 to 6:15 PM
Allen Knutson
Wednesday December 17th, 2008 from 5:15 to 6:15 PM
Organizers: Alberto Cattaneo
(email)

Last updated: 26.09.2008