Seminar talk, 21 February 2024: Difference between revisions
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Created page with "{{Talk | speaker = Raffaele Vitolo | title = Bi-Hamiltonian systems and projective geometry | abstract = We introduce the problem of classification of bi-Hamiltonian structures of KdV type under projective reciprocal transformations. This problem leads naturally to studying the compatibility of a first order localizable homogeneous Hamiltonian operator with a higher order homogeneous Hamiltonian operator. We study the simplest second-order and third-order case where the..." |
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| title = Bi-Hamiltonian systems and projective geometry | | title = Bi-Hamiltonian systems and projective geometry | ||
| abstract = We introduce the problem of classification of bi-Hamiltonian structures of KdV type under projective reciprocal transformations. This problem leads naturally to studying the compatibility of a first order localizable homogeneous Hamiltonian operator with a higher order homogeneous Hamiltonian operator. We study the simplest second-order and third-order case where the orbit contains a constant operator. Computations with weakly non local Hamiltonian operators have been made by techniques developed in a previous paper. | | abstract = We introduce the problem of classification of bi-Hamiltonian structures of KdV type under projective reciprocal transformations. This problem leads naturally to studying the compatibility of a first order localizable homogeneous Hamiltonian operator with a higher order homogeneous Hamiltonian operator. We study the simplest second-order and third-order case where the orbit contains a constant operator. Computations with weakly non local Hamiltonian operators have been made by techniques developed in a previous paper. | ||
Joint work with P. Lorenzoni. | Joint work with P. Lorenzoni. | ||
Revision as of 15:01, 12 February 2024
Speaker: Raffaele Vitolo
Title: Bi-Hamiltonian systems and projective geometry
Abstract:
We introduce the problem of classification of bi-Hamiltonian structures of KdV type under projective reciprocal transformations. This problem leads naturally to studying the compatibility of a first order localizable homogeneous Hamiltonian operator with a higher order homogeneous Hamiltonian operator. We study the simplest second-order and third-order case where the orbit contains a constant operator. Computations with weakly non local Hamiltonian operators have been made by techniques developed in a previous paper.
Joint work with P. Lorenzoni.