SMS scnews item created by Holger Dullin at Mon 24 Aug 2009 1712
Type: Seminar
Distribution: World
Expiry: 28 Aug 2009
Calendar1: 27 Aug 2009 1500-1600
CalLoc1: Eastern Avenue Lecture Theatre
CalTitle1: special Seminar: Mansfield -- Moving Frames and Noether’s Theorem
Auth: dullin(.amstaff;1017.1001)@p714.pc.maths.usyd.edu.au

Special Seminar: Mansfield -- Moving Frames and Noether’s Theorem

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.


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