Moving frames in classical invariant theory and computer vision

Wednesday, February 28, 2007 - 11:15am - 12:15pm
Keller 3-180
Peter Olver (University of Minnesota, Twin Cities)
Classical invariant theory was inspired by the basic problems of equivalence and symmetry of polynomials (or forms) under the projective group. In this talk, I will explain how a powerful new approach to the Cartan method of moving frames can be applied to classify algebraic and differential invariants for very general group actions, leading, among many other applications, to new solutions to the equivalence and symmetry problems arising in both invariant theory, differential geometry, and object recognition in computer vision.