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SUMMARY:The spectral localiser: what and why [Oberseminar Global Analysis 
 and Operator Algebras]
DTSTART:20260428T121500Z
DTEND:20260428T134500Z
DTSTAMP:20260426T122800Z
UID:indico-event-1260@math-events.uni-bonn.de
DESCRIPTION:Speakers: Yuezhao Li (MPIM Bonn)\n\nThe spectral localiser met
 hod\, introduced by Loring and Schulz-Baldes\, allows for computing the in
 dex pairing between a K-theory class and a spectral triple by means of (th
 e signature of) a finite-dimensional matrix\, which is supported on a fini
 te spectral truncation. In recent years\, bivariant K-theoretic methods ha
 ve been employed to provide new insights into their construction. This all
 ows for generalisation to the Hilbert module setting.\nThe goal of this ta
 lk is to give an introduction to the spectral localiser and highlight its 
 interpretation in bivariant K-theory. I will also discuss some subtleties 
 that arise while working with Hilbert modules.\n\nhttps://math-events.uni-
 bonn.de/event/1260/
LOCATION:Endenicher Allee 60/1-008 (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/1260/
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