Differential equations - geometry, symmetries and integrability : the abel symposium 2008
The Abel Symposium 2008 focused on the modern theory of differential equations and their applications in geometry, mechanics, and mathematical physics. Following the tradition of Monge, Abel and Lie, the scientific program emphasized the role of algebro-geometric methods, which nowadays permeate all...
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Collectivité auteur : | |
Autres auteurs : | , |
Format : | Livre |
Langue : | anglais |
Titre complet : | Differential equations - geometry, symmetries and integrability : the abel symposium 2008 / edited by Boris Kruglikov, Valentin Lychagin, Eldar Straume |
Publié : |
Berlin, Heidelberg :
Springer Berlin Heidelberg
, 2009 Springer e-books |
Collection : | Abel symposia (Internet) ; 5 |
Disponibilité : | L'accès complet au document est réservé aux usagers des établissements qui en ont fait l'acquisition |
Contenu : | Some Canonical Structures of Cartan Planes in Jet Spaces and Applications. Transformations of Darboux Integrable Systems. Differential Geometric Heuristics for Riemannian Optimal Mass Transportation. On Rank Problems for Planar Webs and Projective Structures. Niceness Theorems. The Polynomial Algebra and Quantizations of Electromagnetic Fields. A Bridge Between Lie Symmetries and Galois Groups. Focal Systems for Pfaffian Systems with Characteristics. Hamiltonian Structures for General PDEs. Point Classification of Second Order ODEs: Tresse Classification Revisited and Beyond. Classification of Monge Ampeère Equations. On Nonabelian Theories and Abelian Differentials. Geometric Aspects of the Quantization of a Rigid Body. Shooting for the Eight. Compatible Poisson brackets, quadratic Poisson algebras and classical -matrices. Contact Geometry of Second Order I |
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Documents associés : | Autre format:
Differential Equations - Geometry, Symmetries and Integrability |
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200 | 1 | |a Differential equations - geometry, symmetries and integrability |e the abel symposium 2008 |f edited by Boris Kruglikov, Valentin Lychagin, Eldar Straume | |
210 | |a Berlin, Heidelberg |c Springer Berlin Heidelberg |c Springer e-books |d 2009 | ||
225 | 2 | |a Abel Symposia |v 5 | |
230 | |a Données textuelles | ||
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303 | |a Description d'après consultation du 30 mars 2012 | ||
304 | |a Titre provenant de l'écran-titre | ||
305 | |a Numerisation de l'édition de : [s.l.] : Springer science + Business Media. 2009 | ||
310 | |a L'accès complet au document est réservé aux usagers des établissements qui en ont fait l'acquisition | ||
320 | |a Bibliogr. Index | ||
327 | 1 | |a Some Canonical Structures of Cartan Planes in Jet Spaces and Applications |a Transformations of Darboux Integrable Systems |a Differential Geometric Heuristics for Riemannian Optimal Mass Transportation |a On Rank Problems for Planar Webs and Projective Structures |a Niceness Theorems |a The Polynomial Algebra and Quantizations of Electromagnetic Fields |a A Bridge Between Lie Symmetries and Galois Groups |a Focal Systems for Pfaffian Systems with Characteristics |a Hamiltonian Structures for General PDEs |a Point Classification of Second Order ODEs: Tresse Classification Revisited and Beyond |a Classification of Monge Ampeère Equations |a On Nonabelian Theories and Abelian Differentials |a Geometric Aspects of the Quantization of a Rigid Body |a Shooting for the Eight |a Compatible Poisson brackets, quadratic Poisson algebras and classical -matrices |a Contact Geometry of Second Order I | |
330 | |a The Abel Symposium 2008 focused on the modern theory of differential equations and their applications in geometry, mechanics, and mathematical physics. Following the tradition of Monge, Abel and Lie, the scientific program emphasized the role of algebro-geometric methods, which nowadays permeate all mathematical models in natural and engineering sciences. The ideas of invariance and symmetry are of fundamental importance in the geometric approach to differential equations, with a serious impact coming from the area of integrable systems and field theories. This volume consists of original contributions and broad overview lectures of the participants of the Symposium. The papers in this volume present the modern approach to this classical subject | ||
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