Poisson Geometry and Applications

Programme on Lie Groups 2001 Introduction to Symplectic and ...

Symplectic geometry is the geometry of a certain 2-form on a manifold, and Poisson geometry is the geometry of a 2-vector field. They are related by the ...

Report on the lecture course “Poisson geometry, moduli spaces, and ...

Poisson geometry is a generalization of symplectic geometry, and both play a fundamental role in the modern theory of mechanics. Although ...

Lecture Notes “Introduction to Poisson Geometry” - UPCommons

This step, which is an application of the implicit function theorem, is iden- tical as in the symplectic case. Page 58. ACTION-ANGLE COORDINATES. 5. (c) The ...

POISSON GEOMETRY OF THE PRINCIPAL SERIES AND ...

A by-product of our results is an analog in Poisson geometry to the correspondence between certain representations of g and of the associ- ated Cartan motion ...

(PDF) Poisson Geometry | Andrei Plugariu - Academia.edu

As the title suggests, the material covered here includes the Poisson and symplectic structures (Poisson manifolds, Poisson bi-vectors and Poisson brackets), ...

Basic Dynamical Aspects On B-Poisson Singular Geometries ...

Strikingly, we demonstrate that the free rigid body fits into the b-Poisson geometry formalism, where the critical hypersurface provides a ...

Videos & Slides | 2023 “Gone Fishing” Poisson Geometry Conference

Abstract: Poisson manifolds are generalizations of symplectic manifolds, informally as a space that is foliated by symplectic sheets. The Hamiltonian dynamics ...

LAST MULTIPLIERS FOR MULTIVECTORS WITH ... - jstor

Last Multipliers for Multivectors with Applications to Poisson Geometry 1635. 5. I. Cruz and H. Mena-Matos, Normal forms for locally exact Poisson structures in.

Conferences and School in Poisson Geometry - Ping Xu - Grantome

Poisson geometry provides a very important bridge between mathematics and physics and between classical and quantum physics. Although Poisson geometry has a ...

Poisson geometry of groups and shifted Poisson structures

59:38. Shifted Poisson Structures ; 1:35:44. Shifted symplectic structures ; 1:01:49. Noncommutative discriminants and Poisson geometry ; 1:01:31. Highly ...

Basic Notions of Poisson and Symplectic Geometry in ... - Inspire HEP

This work contains a brief and elementary exposition of the foundations of Poisson and symplectic geometries, with an emphasis on ...

Frédéric Barbaresco on LinkedIn: Poisson Geometry & Mathematical ...

Poisson Geometry & Mathematical Physics May 13 - July 12, 2024 INdAM Unit, Department of Mathematics and Applications "Renato Caccioppoli", ...

Joint CRM-ICMAT Intensive Research Programme on Poisson ...

As a matter of fact, direct applications of Poisson geometry can be nowadays found in the theory of geometric phases, string theory ...

Poisson geometry, momentum maps and applications - Infoscience

Poisson geometry, momentum maps and applications. Birtea, Petre Iosif. 2002. Files. Details. Metrics. No Thumbnail Available. Request a copy.

Poisson geometry from a Dirac perspective - OUCI

List of references · Alekseev, A.: On Poisson actions of compact Lie groups on symplectic manifolds. · Alekseev, A., Meinrenken, E.: Ginzburg–Weinstein via ...

[Math] Winter School on Poisson structures in algebraic geometry

◇ Abstract: One of the key basic facts in Poisson geometry and its applications is that any Poisson variety has a natural decomposition into subspaces, called ...

VII Workshop on Poisson Geometry and Related topics

The KT structures have been recently studied by many authors due to their applications in type II string theory and their relations with generalized Kähler ...

Poisson Geometry Related to Atiyah Sequences

Poisson Geometry Related to Atiyah Sequences. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 14 (005). ISSN 1815-0659 https://doi ...

Interactions between representation theory, Poisson algebras and ...

Roughly speaking, the noncommutative algebraic geometry of the ``quantum'' spaces is closely related to the geometry of the space of symplectic leaves. In the ...

INdAM Poisson - Google Sites

The aim of the Intensive Period is to bring together researchers interested in Poisson geometry in a broad sense and mathematical physics from Italy and ...