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Author Abel Symposium (5th : 2008 : Tromsø, Norway)

Title Differential equations : geometry, symmetries and integrability, the Abel Symposium 2008, proceedings of the fifth Abel Symposium, Tromsø, Norway, June 17-22, 2008 / Boris Kruglikov, Valentin Lychagin, Eldar Straume, editors
Published Dordrecht ; New York : Springer, ©2009


Description 1 online resource (xiv, 386 pages) : illustrations (some color)
Series Abel Symposia ; 5
Abel symposia ; 5.
Contents 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#x2013;Ampe#x00E8;re 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
Summary 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
Analysis wiskunde
differential equations
computational science
Mathematics (General)
Wiskunde (algemeen)
Bibliography Includes bibliographical references
Notes Print version record
Subject Differential equations -- Congresses
Geometry, Differential -- Congresses
Symmetry (Mathematics) -- Congresses
MATHEMATICS -- Differential Equations -- General.
Differential equations.
Geometry, Differential.
Symmetry (Mathematics)
Genre/Form Electronic books
Conference papers and proceedings.
Conference papers and proceedings.
Actes de congrès.
Form Electronic book
Author Kruglikov, Boris, 1970-
Lychagin, V. V. (Valentin Vasilʹevich)
Straume, Eldar, 1946-
ISBN 9783642008733
Other Titles Abel Symposium 2008