Speaker: Prof. Elizabeth Mansfield (University of Kent, UK)
Title: Introduction to Moving Frames
Time: 2015-08-27 (Thu.)  14:00 - 15:00
Place: Auditorium, 6 Floor, Institute of Mathematics (NTU Campus)
Abstract: I will give a brief overview, suitable for graduate students, of the definition and construction of the Lie group based moving frame, and then I will talk about applications to the equivalence problem, to the invariant evolution of curves, to solving invariant ODE, to the algebra of differential invariants, and to the variational calculus. I will finish by briefly introducing recent work with Gloria Mari Beffa: a construction of multispace, a manifold which contains both finite difference and Taylor polynomial approximations (ie the jet bundle) to functions defined on surfaces. This will be used to construct a finite difference Lagrangian for shallow water systems which not only has all the correct continuum limits, but is invariant under a discretisation of the particle relabelling symmetry, needed for the conservation of potential vorticity.
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