Poisson Geometry and Applications

Abstract. This workshop concentrated on some of the major areas of Poisson geometry and its applications. Topics covered included moment maps, global Poisson ...

7.4 Examples and applications of Poisson geometry - Fiveable

Poisson geometry is a powerful tool in classical mechanics, offering a framework for describing Hamiltonian systems and analyzing symmetries ...

Poisson Geometry: Principles & Applications | Vaia

Poisson geometry provides a natural framework for the study of integrable systems, facilitating the understanding of Hamiltonian dynamics, the construction of ...

Numerical Methods in Poisson Geometry and their Application to ...

These Poisson integrators are tested in some mechanical examples. Their properties are illustrated numerically and they are compared to traditional methods.

Numerical methods in Poisson geometry and their application to ...

We recall the question of geometric integrators in the context of Poisson geometry and explain their construction. These Poisson integrators are ...

Poisson geometry - ScienceDirect.com

This paper is a survey of Poisson geometry, with an emphasis on global questions and the theory of Poisson Lie groups and groupoids.

Poisson Geometry and Applications - Markus Pflaum - Academia.edu

In the present note we give an explicit description of certain class of Poisson structures. The methods lead to a classification of Poisson structures in low ...

Poisson Geometry and Applications - EMS Press

The programme consisted of 17 lectures and covered a range of areas in Poisson Geometry and its applications where significant progress has been ...

Geometric Structures in Poisson Geometry and Applications

studying the symmetry of various geometric problems in Poisson geometry. Quantization is developed in order to gain a better understanding of the. relationship ...

Lectures on Poisson Geometry - AMS Bookstore

The authors' philosophy that Poisson geometry is an amalgam of foliation theory, symplectic geometry, and Lie theory enables them to organize the book in a very ...

Poisson Geometry and Applications - Conference

Y. Kosmann-Schwarzbach, (Ecole Polytechnique, France). A. Kotov, (U. Tromso, Norway. ) C. Laurent-Gengoux, (U.

Differential Geometry and its Applications - ScienceDirect.com

Poisson geometry is a fast-developing field at the intersection of geometry and mathematical physics stimulated by its connections with differential geometry.

Poisson manifold - Wikipedia

In differential geometry, a field in mathematics, a Poisson manifold is a smooth manifold endowed with a Poisson structure. The notion of Poisson manifold ...

Poisson Geometry in Mathematics and Physics - Alan Weinstein

Teacher: Alan Weinstein Poisson geometry has its historical roots in the 19th century formulation of classical mechanics, going back to the ...

Applications of Poisson geometry to physical problems

In following the symmetry-reduction theme in geometric mechanics from the Euler–Poincaré viewpoint, I have tried to select only the material the ...

Poisson Geometry and Applications

The aim of the conference is to bring together researchers working in Poisson geometry and related topics (like integrable systems, geometric mechanics and ...

Basic notions of Poisson and symplectic geometry in local ... - arXiv

Title:Basic notions of Poisson and symplectic geometry in local coordinates, with applications to Hamiltonian systems ; Comments: 35 pages, ...

Special Issue on Poisson Geometry in Mathematics and Physics

Topics for this special issue cover a range of areas arising from Poisson brackets and their applications.

Award # 0306665 - Geometric Structures in Poisson Geometry and ...

Note ; Mathieu Stienon, Ping Xu "Poisson Quasi-Nijenhuis Manifolds" CMP ; Jean-Louis Tu, Ping Xu "Chern character for twisted K-theory of orbifolds" Adv in Math ...

(PDF) Applications of Poisson Geometry to Physical Problems

On the Hamiltonian side, the Euler-Poincar\'e equations are Lie-Poisson and they possess accompanying momentum maps, which encode both their conservation laws ...