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. | ||
| video = | | video = https://video.gdeq.org/GDEq-zoom-seminar-20240221-Raffaele_Vitolo.mp4 | ||
| slides = | | slides = [[Media:VitoloIUM2024.pdf|VitoloIUM2024.pdf]] | ||
| references = | | references = | ||
| 79YY-MM-DD = 7975-97-78 | | 79YY-MM-DD = 7975-97-78 | ||
}} | }} | ||
Latest revision as of 08:40, 4 January 2025
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.
Video
Slides: VitoloIUM2024.pdf