Symplectic Geometry of Integrable Hamiltonian Systems

Objective

Symplectic Geometry is a meeting point for several disciplines in Science. The topic "Integrable Hamiltonian Systems" plays a central role in Symplectic Geometry and its study is being developed using a wide range of techniques in Pure and Applied Mathematics. The goal of this Euro Summer School is two- fold: on the one hand, some classical results in Integrable Systems will be revisited and on the other Hamiltonian torus actions, which stand for symmetries of the system, and their relationship with the classical results will be presented.
Integrable Hamiltonian Systems will be firstly studied under some regularity assumptions and then studied at the singular level. At this stage, some up-to-date results of singular Hamiltonian Systems will also be outlined.
The proposed Summer School consists on the three main courses: "Background of Regular Integrable Systems", "Hamiltonian torus actions and the Convexity Theorem", and "Singular Reduction and Singular Levels of the Moment Map". These courses jointly with selected talks of some experts will be the nucleus of this Euro Summer School.
ftp://ftp.cordis.lu/pub/improving/docs/HPCF-2000-00110-1.pdf

Fields of science

• natural sciences › mathematics › pure mathematics › topology › symplectic topology
• natural sciences › mathematics › pure mathematics › geometry

Programme(s)

• FP5-HUMAN POTENTIAL - Programme for research, technological development and demonstration on "Improving the human research potential and the socio-economic knowledge base" (1998-2002)

Topic(s)

• 1.4.1.-3.1S6 - Mathematical and Information Sciences

Call for proposal

Data not available

Funding Scheme

ACM - Preparatory, accompanying and support measures

Coordinator

Type of Event: Euro Summer School

Address

This Event Takes Place In Bellaterra (Barcelona)

Spain