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Spectral flow and index theory for families of unbounded operators

Koen van den Dungen
Institution: 
SISSA Trieste
Schedule: 
Wednesday, June 7, 2017 - 12:00
Location: 
A-136
Abstract: 

In this talk I will discuss some recent and ongoing work on the relation between spectral flow and index theory in the context of unbounded KK-theory. In particular, I will present a generalised version of the classical 'index = spectral flow' equality for the case of higher-dimensional manifolds, by rewriting this equality in terms of a Kasparov product. 

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