Verbovetsky A. On Hamiltonian geometry of PDEs, talk at Conf. The Interface of Integrability and Quantization, Lorentz Center, Leiden (The Netherlands), 2010 (abstract): Difference between revisions
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by [[Paul Kersten]], [[Joseph Krasil'shchik]], [[Alexander Verbovetsky]], and [[Raffaele Vitolo]] | by [[Paul Kersten]], [[Joseph Krasil'shchik]], [[Alexander Verbovetsky]], and [[Raffaele Vitolo]] | ||
| abstract = The talk will survey geometrical ideas underlying the Hamiltonian approach to integrable systems. Tangent and cotangent coverings over the infinite jet spaces and differential equations, variational forms, multivectors, de Rham differential, Schouten bracket, etc. will be discussed after a short introduction to the geometry of differential equations. | | abstract = The talk will survey geometrical ideas underlying the Hamiltonian approach to integrable systems. Tangent and cotangent coverings over the infinite jet spaces and differential equations, variational forms, multivectors, de Rham differential, Schouten bracket, etc. will be discussed after a short introduction to the geometry of differential equations. | ||
| slides = [[Media:Kersten_P.%2C_Krasil%27shchik_I.%2C_Verbovetsky_A.%2C_Vitolo_R._On_Hamiltonian_geometry_of_PDEs_%28presentation_at_the_Lorentz_Center_Workshop_The_Interface_of_Integrability_and_Quantization%2C_Leiden%2C_The_Netherlands%2C_12-16_April_2010%29.pdf| | | slides = [[Media:Kersten_P.%2C_Krasil%27shchik_I.%2C_Verbovetsky_A.%2C_Vitolo_R._On_Hamiltonian_geometry_of_PDEs_%28presentation_at_the_Lorentz_Center_Workshop_The_Interface_of_Integrability_and_Quantization%2C_Leiden%2C_The_Netherlands%2C_12-16_April_2010%29.pdf|Kersten P., Krasil'shchik I., Verbovetsky A., Vitolo R. On Hamiltonian geometry of PDEs (presentation at the Lorentz Center Workshop The Interface of Integrability and Quantization, Leiden, The Netherlands, 12-16 April 2010).pdf]] | ||
| references = [[Joseph Krasil'shchik]] and [[Alexander Verbovetsky]], Geometry of jet spaces and integrable systems, {{ArXiv|1002.0077}} | | references = [[Joseph Krasil'shchik]] and [[Alexander Verbovetsky]], Geometry of jet spaces and integrable systems, {{ArXiv|1002.0077}} | ||
Revision as of 01:32, 11 April 2010
Speaker: Alexander Verbovetsky
Title: On Hamiltonian geometry of PDEs
by Paul Kersten, Joseph Krasil'shchik, Alexander Verbovetsky, and Raffaele Vitolo
Abstract:
The talk will survey geometrical ideas underlying the Hamiltonian approach to integrable systems. Tangent and cotangent coverings over the infinite jet spaces and differential equations, variational forms, multivectors, de Rham differential, Schouten bracket, etc. will be discussed after a short introduction to the geometry of differential equations.
Slides: Kersten P., Krasil'shchik I., Verbovetsky A., Vitolo R. On Hamiltonian geometry of PDEs (presentation at the Lorentz Center Workshop The Interface of Integrability and Quantization, Leiden, The Netherlands, 12-16 April 2010).pdf
References:
Joseph Krasil'shchik and Alexander Verbovetsky, Geometry of jet spaces and integrable systems, arXiv:1002.0077
Paul Kersten, Joseph Krasil'shchik, Alexander Verbovetsky, and Raffaele Vitolo, Hamiltonian structures for general PDEs, in Differential Equations - Geometry, Symmetries and Integrability: The Abel Symposium 2008 (B. Kruglikov, V. Lychagin, and E. Straume, eds.), Abel Symposia 5, Springer, 2009, pp. 187-198, arXiv:0812.4895