Type: Seminar

Distribution: World

Expiry: 28 Aug 2009

CalTitle1: special Seminar: Mansfield -- Moving Frames and Noether’s Theorem

Auth: dullin(.amstaff;1017.1001)@p714.pc.maths.usyd.edu.au

Elizabeth Mansfield, University of Kent Moving Frames and Noether’s Theorem Thursday 27th Aug 15:05-15:55pm, Eastern Avenue Lecture Theatre. "Moving frames" or "repere mobile" are associated with the name of Elie Cartan, although the ideas are older, and were used to solve a variety of equivalence problems in differential geometry. Recent reformulations, in particular the seminal work of Fels and Olver, have freed the ideas to allow for a wider variety of applications, for example in computer vision and Lie group invariant numerical schemes, and also to be able to compute effectively with differential invariants and their differential relations in symbolic computation. In this talk, I will give an overview of moving frames as they are now conceived. The application discussed will be to the Calculus of Variations, specifically, the derivation and structure of Euler Lagrange equations arising from variational problems having a Lie group symmetry. I will also discuss the interplay between the moving frame and the conservation laws that arise via Noether’s theorem. The talk is written for a non expert audience.