AG Mathematische Physik, Tom Stoiber (Erlangen): Callias-type operators associated to spectral triples

Okt 28
28-10-2021 16:15 Uhr bis 18:00 Uhr
Übung 1 / 01.250-128, Erlangen

Tom Stoiber
Callias-type operators associated to spectral triples

Abstract:
Callias-type (or Dirac-Schroedinger) operators associated to
abstract semifinite spectral triples are introduced and their indices
are computed in terms of an associated index pairing derived from the
spectral triple. The result is then interpreted as an index theorem for
a non-commutative analogue of spectral flow. Both even and odd spectral
triples are considered, and both commutative and non-commutative
examples are given.

Friedrich-Alexander-Universität Erlangen-Nürnberg