Peter Olver : Applications of moving frames

Posted by , part of the Departmental Colloquium.

At

Feb. 10, 2006, 3 p.m.

In

SEO 636

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.