Operator algebra seminar

Speaker: Alexander Gorokhovsky (Boulder CO)

Title: Primary and secondary pairings for pseudodifferential symbols.

Abstract: We  compare different constructions of cyclic cocycles for the algebra of  complete symbols of pseudodifferential operators and  show that our comparison result leads to interesting index-theoretic consequences and a construction of invariants of the algebraic $K$-theory of the algebra of pseudodifferential symbols. This is a joint work with H. Moscovici.