Professor of Mathematics, Professor Elizabeth Mansfield, from the School of Mathematics, Statistics and Actuarial Science (SMSAS) at the University of Kent, will speak at an event to mark the centenary of Emmy Noether’s iconic Theorem.
The event titled, ‘The Noether Theorems, a Hundred Years Later’, will take place at the Institut Henri Poincare in Paris, France on Wednesday 23 January.
Elizabeth will be presenting a talk titled, ‘Noether’s Theorem, Smooth and Discrete’.
In this talk, I will illustrate progress, first in the understanding of the mathematical structure of Noether’s conservation laws for a geometric group action, and second their adaptation to various discrete versions. One main theme has been to understand the mathematical structure of the laws in terms of invariants and an equivariant frame. Another main theme has been to embed the laws, a priori, into numerical schemes, so that we can claim that the scheme truly incorporates the physical symmetries of the underlying model. I will indicate how we may get around the famous ‘no go’ theorem by Ge and Marsden and achieve this last. Time permitting, I will show how Noether’s Second Theorem may also be extended to difference systems.
Professor Elizabeth Mansfield
Elizabeth is a Professor of Mathematics and Vice President of the Institute of Mathematics and Its Applications (IMA) with responsibility for Learned Societies, and Chair of the IMA Research Committee. She is a member of the Scientific Advisory Committee for Australian Mathematical Sciences Institute (AMSI) and London Mathematical Society (LMS) Programme Committee. Elizabeth’s research interests include: Discrete variational methods, with applications to geometric integration; Noether’s Theorem in all its manifestations; Moving frames, discrete moving frames; Multispace methods; and Symbolic analysis for nonlinear differential and difference equations.