Index theory for non-Fredholm operators

Jens Kaad (University of Paris)

Tuesday 19th November, 2013 16:00-17:00 Maths 416


In the eighties, the investigation of an index theory for non-Fredholm
operators was initiated by Gesztesy-Simon and Carey-Pincus.
The generalized index is defined as a scaling limit at zero of a super
trace of resolvents and is thus tightly linked to Krein's spectral
shift function. In this talk I will show how this non-Fredholm index
theory is related to cyclic theory. This implies certain invariance
properties of the generalized index under perturbations.
I will also present a local formula for the scaling limit at infinity
in the case of Dirac-type operators on Euclidean space.
The talk is based on joint work with Alan Carey and Harald Grosse.

Add to your calendar

Download event information as iCalendar file (only this event)