Departmental Colloquium
Peter Olver
University of Minnesota
Applications of moving frames
Abstract: In this talk, I will describe a new approach to the powerful Cartan
theory of moving frames that is based on equivariant maps. The method
is completely algorithmic, and can be readily applied to completely
general finite-dimensional Lie group and even infinite-dimensional
pseudo-group actions. After introducing the basic ideas, I will
attempt to survey a wide variety of new applications, including
classification of differential invariants, invariant variational
problems and differential equations, symmetries and equivalence of
polynomials in classical invariant theory, object recognition in
computer vision, and the design of symmetry-preserving numerical
approximations.
Friday February 10, 2006 at 3:00 PM in SEO 636