Geodesic invariance and the symmetric product: mechanics, control theory, and geometry, by A. Lewis

in

18 Jun 2024 (Tuesday). 14:00 CET. Talk by A. Lewis. Note the unusual day and time.

Abstract: The property of geodesic invariance of a distribution on a manifold with an affine connection is that for which geodesics with initial tangent vectors in the distribution are such that all subsequent tangent vectors are in the distribution. The symmetric product is the infinitesimal measure of geodesic invariance. In the talk, the manner in which these notions arise in various areas will be illustrated.