Olga Aryasova (Inst. of Geophysics, Nat. Acad. of Sciences of Ukraine / Friedrich–Schiller–Univ. Jena)
This talk (based on joint work with S. Azzali) discusses local linear forms on classical pseudo-differential operators on a closed manifold, and their relevance in index theory.
Local linear forms are spanned by the well-known Wodzicki residue on integer order operators and the somewhat lesser known canonical trace on non-integer order operators.