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The spectral localizer of an index pairing (Guest seminar - joint with the Oberseminar Global Analysis and Operator Algebras of the MI Bonn)

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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.

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