Invariant Curve and Surface Flows and Evolution of their Associated Differential Invariants

Wednesday, April 23, 2014 - 11:15am - 12:15pm
Lind 409
Joseph Benson (University of Minnesota, Twin Cities)
In this talk, I will describe some of the uses of the invariant
variational bicomplex structure in studying the evolution of
differential invariants such as curvature, torsion, mean curvature, etc.
under a group invariant flow. This talk will also discuss
integrability of the resulting equations describing these evolutions,
and in the case of curves in Euclidean 3-space, the connection to the
non-linear Schrödinger equation via the Hasimoto transform.