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SUMMARY:The spectral localiser via E-theory [Oberseminar Global Analysis a
 nd Operator Algebras]
DTSTART:20251118T131500Z
DTEND:20251118T144500Z
DTSTAMP:20260314T230400Z
UID:indico-event-884@math-events.uni-bonn.de
DESCRIPTION:Speakers: Yuezhao Li (Uni Leiden)\n\nTerry Loring and Hermann 
 Schulz-Baldes have introduced thespectral localiser as a means to compute 
 the index pairing between aK-theory class and a spectral triple. The spect
 ral localiser is afinite-dimensional\, invertible matrix that is supported
  on a finitespectral subspace of the spectral triple. In the odd case\, we
  interpret thespectral localiser as an index pairing in E-theory. Namely\,
  the image of anodd K-theory class under the asymptotic morphism generated
  by an oddspectral triple.  This allows for speaking of spectral truncati
 ons of indexpairings in the framework of bivariant K-theory. This is based
  on jointwork with Bram Mesland.\n\nhttps://math-events.uni-bonn.de/event/
 884/
LOCATION:Endenicher Allee 60/1-008 (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/884/
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