Olga Aryasova (Inst. of Geophysics, Nat. Acad. of Sciences of Ukraine / Friedrich–Schiller–Univ. Jena)
I will start with an infinitesimal symmetry transformation as a diffeomorphism and derive the Noether-current. The setting is a compact domain in the flat space and just with one scalar field and one derivative, but I will explain briefly how to apply this for more scalar fields and derivatives of higher order.
Afterwards I will deduce the Noether current for the Lagrangian as scalar density.