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/ Эта и другие лекции смотрите на канале RuTube - https://rutube.ru/channel/42881756/
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/ Эта и другие лекции смотрите на канале RuTube - https://rutube.ru/channel/42881756/