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Starting from a discussion of the trace, signature and determinant of a matrix I will consider `infinite dimensional' generalizations, with pseudodifferential operators on compact manifolds playing the role of infinite matrices. In particular I will describe joint work with Victor Nistor which proceeds from the realization of the index as a pairing in Hochschild homology and gives extensions to manifolds with boundary involving the eta invariant.

Richard B. Melrose
Wed Oct 23 20:18:35 EDT 1996