The Invariant Variational Bicomplex

Thursday, April 10, 2014 - 10:30am - 11:30am
Lind 409
Joseph Benson (University of Minnesota, Twin Cities)
In this talk I will use the method of moving frames to construct a group invariant version of the variational bicomplex. Explicit formulae for the group invariant versions of the Euler-Lagrange equations associated to an invariant variational problem arise in this context. If time permits, I will give further applications to invariant curve and surface flows in low dimensions. The talk is based on papers by Kogan and Olver and leads into the problems considered in my dissertation.