Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Speaker:
Prof. Elizabeth Mansfield,School of Mathematics, Statistics & Actuarial Science, University of Kent, UK
Inviter:
Title:
Introduction to Moving Frames
Time & Venue:
2015.8.9 16:30-17:30 N702
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.
Appendix：
Copyright@2008, All Rights Reserved, Academy of Mathematics and Systems Science, CAS
Tel: 86-10-82541777 Fax: 86-10-82541972 E-mail: contact@amss.ac.cn
