Symbolic Computation Group

David R. Cheriton School of Computer Science
University of Waterloo, Waterloo, Ontario, Canada

Friday, March 9, 2012, at U. of Waterloo
Moving Frames
Elizabeth Mansfield University of Canterbury, Kent, England

Abstract In this talk I will give a discussion of group based moving frames and discuss how they are used to ease the integration of ODEs with a Lie group symmetry, with expository examples and with particular reference to the Chazy Equation, a 3rd order ODE with an SL(2) symmetry. (Note that classical methods to integrate ODEs with a symmetry work best for solvable Lie groups, which SL(2) is not.)

 

Last modified on Wednesday, 07 November 2012, at 12:12 hours.