Verbovetsky A. Hamiltonian structures for general PDEs, talk at The Abel Symposium 2008, Differential Equations - Geometry, Symmetries and Integrability, 18-21 June 2008, Tromso, Norway (abstract)
Speaker: Alexander Verbovetsky
Title: Hamiltonian structures for general PDEs
Abstract:
We will discuss the following question: What happens to a Hamiltonian operator of an evolution system if we change coordinates so that the system becomes non-evolution?
We will give an answer to this question, describe the corresponding geometry, consider examples, in particular, construct a bihamiltonian structure for Kupershmidt's nonholonomic deformation of a bihamiltonian system.
Slides: Media:Kersten_P.,_Krasil'shchik_I.,_Verbovetsky_A.,_Vitolo_R._Hamiltonian_structures_for_general_PDEs_(presentation_at_The_Abel_Symposium_2008,_Differential_Equations_-_Geometry,_Symmetries_and_Integrability,_18-21_June_2008,_Tromso,_Norway).pdf
References:
arXiv:0812.4895