Seminar talk, 21 October 2026: Difference between revisions
Created page with "{{Talk | speaker = Raffaele Vitolo | title = Bi-Hamiltonian systems from homogeneous operators, part 2 | abstract = I will present new results on the same topic on which I delivered a seminar on March 2026. More precisely, the topic is that of integrable systems defined by bi-Hamiltonian pairs of the following form: <math>A_1 = P_1 + R_k</math> and <math>A_2 = P_2</math>, where <math>P_1</math>, <math>P_2</math> are homogeneous first-order Hamiltonian operators and <math..." |
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Joint work with R. La Scala, X. Li, P. Lorenzoni, S. Opanasenko. | Joint work with R. La Scala, X. Li, P. Lorenzoni, S. Opanasenko. | ||
| video = | | video = https://video.gdeq.org/GDEq-zoom-seminar-20261021-Raffaele_Vitolo.mp4 | ||
| slides = | | slides = [[Media:VitoloIUM-21_October_2026.pdf|VitoloIUM-21_October_2026.pdf]] | ||
| references = | | references = | ||
| 79YY-MM-DD = 7973-89-78 | | 79YY-MM-DD = 7973-89-78 | ||
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Latest revision as of 08:28, 22 October 2026
Speaker: Raffaele Vitolo
Title: Bi-Hamiltonian systems from homogeneous operators, part 2
Abstract:
I will present new results on the same topic on which I delivered a seminar on March 2026. More precisely, the topic is that of integrable systems defined by bi-Hamiltonian pairs of the following form: and , where , are homogeneous first-order Hamiltonian operators and is a homogeneous Hamiltonian operator of degree (order) . Many 'famous' integrable systems (KdV, AKNS, dispersive water waves etc.) are endowed with a bi-Hamiltonian pair of that form. We will illustrate recent advances on compatibility conditions and their geometric interpretation. The results will be published in arXiv soon.
See also arXiv:2602.14739, arXiv:2407.17189, arXiv:2311.13932.
Joint work with R. La Scala, X. Li, P. Lorenzoni, S. Opanasenko.
Video
Slides: VitoloIUM-21_October_2026.pdf