Скачать или смотреть Seminar GDEq. Rational integrals of geodesic flows

08.10.25
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.

Geometry of differential equations
Страница семинара - https://gdeq.org/Seminar
The seminar works at the Independent University of Moscow - https://mccme.ru/ru/nmu/

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