Seminar GDEq. Equivalence of scalar ODEs under contact, point and fiber-preserving transformations

14 May 2025 Speaker: Boris Doubrov Title: Equivalence of scalar ODEs under contact, point and fiber-preserving transformations Abstract: It is known that the equivalence problem for scalar ODEs of order 3 and higher can be solved via the construction of a canonical Cartan connection. The invariants then appear as part of the curvature of this connection. This allows to describe explicitly all scalar ODEs of order 3 and higher that can be brought to the trivial equation by contact transformations. The goal of this talk is to show how most of this story can be extended to the equivalence of scalar ODEs under point and fiber-preserving transformations. Geometry of differential equations Страница семинара - https://gdeq.org/Seminar Плейлист на YouTube - https://www.youtube.com/playlist?list=PLp9ABVh6_x4HN6Cf6w0mau4KXaaoVmX3w Плейлист на RuTube - https://rutube.ru/plst/893946 The seminar works at the Independent University of Moscow - https://mccme.ru/ru/nmu/