The spectral localizer of an index pairing (Guest seminar - joint with the Oberseminar Global Analysis and Operator Algebras of the MI Bonn)
Posted in
Speaker:
Hermann Schulz-Baldes
Affiliation:
Universität Erlangen
Date:
Thu, 21/06/2018 - 14:00 - 15:00
Location:
MPIM Seminar Room
Parent event:
Extra talk Guest seminar (joint with the Oberseminar Global Analysis and Operator Algebras of
the MI Bonn)
Abstract: Index pairings are integer-valued homotopy invariants combining a Fredholm module
with a K-theory class specified by a projection or a unitary. Numerous classical examples
are known from differential and non-commutative geometry and physics. In this talk we
discuss the spectral localizer, a finite dimensional matrix whose signature computes the
index pairing explicitly. This makes the invariant numerically accessible.
© MPI f. Mathematik, Bonn | Impressum & Datenschutz |