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SUMMARY:Trace and Regularized Index of Callias Operators on Hyperbolic Spa
 ce [Oberseminar Global Analysis and Operator Algebras]
DTSTART:20250624T121500Z
DTEND:20250624T131500Z
DTSTAMP:20260317T061000Z
UID:indico-event-486@math-events.uni-bonn.de
DESCRIPTION:Speakers: Jilly Kevo (Uni Bonn)\n\nWe consider Callias operato
 rs\, i.e. Dirac operators perturbed by an operator valued potential $A$\, 
 on odd\, $d$-dimensional hyperbolic space. Without imposing invertibility 
 of the potential outside a compact region\, the operators are no longer Fr
 edholm so that the Witten index\, a type of regularized index defined via 
 trace limits\, becomes the natural substitute for the classical notion of 
 index. An explicit trace formula\, which leads to a new index formula\, ha
 s already been found in the Euclidean case\, independently by Pushnitski\,
  Gesztesy et al. and others for $d=1$\, and recently\, by Fürst for $d \\
 geq 3$. Besides employing representation-theoretic arguments\, we describe
  how the current techniques can be modified to incorporate the effects of 
 nonzero curvature and present a partial result.\nThis talk is the first in
  a sequence of talks on the topic of my Master's thesis.\n\nhttps://math-e
 vents.uni-bonn.de/event/486/
LOCATION:Seminar room 1.008 (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/486/
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