Verbovetsky A. On Hamiltonian geometry of PDEs, talk at Conf. The Interface of Integrability and Quantization, Lorentz Center, Leiden (The Netherlands), 2010 (abstract)

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