Veranstaltung

Vortrag
Regularized traces and K-theory invariants of parametric pseudodifferential operators
12.2.2007, 15:15 Uhr – 16:15 Uhr

I will outline our recent construction of invariants of relative K-theory classes of multi-parameter dependent pseudodifferential operators, which recover and generalize Melroses divisor flow. These are higher divisor flows, that are obtained by pairing relative K-theory classes with relative cyclic cocycles manufactured out of regularized traces. They take integral values and can be interpreted as suspended versions of the spectral flow. (based on joint work with Henri Moscovici and Markus Pflaum)