Seminar talk, 8 October 2025: Difference between revisions

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Created page with "{{Talk | 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..."
 
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| title = Rational integrals of geodesic flows
| 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.
| 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 =  
| video = https://video.gdeq.org/GDEq-zoom-seminar-20251008-Boris_Kruglikov.mp4
| slides =  
| slides =  
| references =  
| references =  
| 79YY-MM-DD = 7974-89-91
| 79YY-MM-DD = 7974-89-91
}}
}}

Revision as of 23:06, 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