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SUMMARY:Symmetries and Noether's Theorem 97 years on - Elizabeth Mansfield
  (University of Kent)
DTSTART:20150427T161000Z
DTEND:20150427T165000Z
UID:TALK59296@talks.cam.ac.uk
CONTACT:Eoin Devane
DESCRIPTION:Emmy Noether published her paper on Conservation Laws for vari
 ational problems in 1918. Her relatively short paper gives the complete\, 
 computational result yielding a conservation law for every Lie group symme
 try of a Lagrangian\, as well as additional results where the symmetry is 
 that of a Lie pseudogroup.  In this talk\, I will show results from two li
 nes of research. One is using the new technology of Lie group based moving
  frames to rewrite the laws in terms of invariants and an equivariant map\
 , that is\, a moving frame. These results can be used to ease the integrat
 ion problem of the Euler Lagrange equations in the examples. Another line 
 of research is that of the a priori embedding of Noether's laws into numer
 ical schemes\, such as those for energy\, linear and angular momenta and p
 otential vorticity\, which indeed turns out to be possible in a certain se
 nse.  The talk features joint work with Tânia Gonçalves (Goiás\, Brazil
 ) and Tristan Pryer (Reading\, UK).
LOCATION:MR2\, CMS
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