Seminar talk, 8 October 2025: Difference between revisions
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| abstract = Polynomial (in momenta) integrals of geodesic flows, also known as Killing tensors of the metric, play an important role in finite-dimensional integrable systems. Recently, rational integrals came in focus of investigations. (These are natural, especially for algebraic Hamiltonian actions.) I will discuss the problem of their computations and count, relation to relative Killing tensors and show some examples. | | abstract = Polynomial (in momenta) integrals of geodesic flows, also known as Killing tensors of the metric, play an important role in finite-dimensional integrable systems. Recently, rational integrals came in focus of investigations. (These are natural, especially for algebraic Hamiltonian actions.) I will discuss the problem of their computations and count, relation to relative Killing tensors and show some examples. | ||
| video = https://video.gdeq.org/GDEq-zoom-seminar-20251008-Boris_Kruglikov.mp4 | | video = https://video.gdeq.org/GDEq-zoom-seminar-20251008-Boris_Kruglikov.mp4 | ||
| slides = | | slides = [[Media:GDEq2025-Kruglikov.pdf|GDEq2025-Kruglikov.pdf]] | ||
| references = | | references = | ||
| 79YY-MM-DD = 7974-89-91 | | 79YY-MM-DD = 7974-89-91 | ||
}} | }} | ||
Latest revision as of 23:10, 8 October 2025
Speaker: Boris Kruglikov
Title: Rational integrals of geodesic flows
Abstract:
Polynomial (in momenta) integrals of geodesic flows, also known as Killing tensors of the metric, play an important role in finite-dimensional integrable systems. Recently, rational integrals came in focus of investigations. (These are natural, especially for algebraic Hamiltonian actions.) I will discuss the problem of their computations and count, relation to relative Killing tensors and show some examples.
Video
Slides: GDEq2025-Kruglikov.pdf