BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:Trace and Regularized Index of Callias Operators on Hyperbolic Spa
 ce [Oberseminar Global Analysis and Operator Algebras]
DTSTART:20260331T121500Z
DTEND:20260331T134500Z
DTSTAMP:20260420T163000Z
UID:indico-event-1167@math-events.uni-bonn.de
DESCRIPTION:Speakers: Jilly Kevo (University Bonn)\n\nThis talk continues 
 our study of non-Fredholm Callias operators $D$ on odd-dimensional hyperbo
 lic space\, that is\, Dirac operators perturbed by operator-valued potenti
 als without any assumption of invertibility at infinity. In this non-Fredh
 olm setting\, the classical Fredholm index is replaced by the Witten index
 \, defined through trace limits of the associated heat semigroups.\nBuildi
 ng on the analytical framework developed in the first talk\, we derive an 
 explicit formula for the iterated trace of the difference of heat semigrou
 ps associated with $D^*D$ and $DD^*$. Our approach combines representation
 -theoretic methods with geometric and analytic heat-kernel techniques in t
 he spirit of Berline and Getzler\, adapted to the curved setting of hyperb
 olic space.\nThis trace formula extends recent Euclidean results by Pushni
 tski\, Gesztesy\, Fürst\, and others to a manifold of nonzero curvature. 
 To our knowledge\, it constitutes the first explicit formula of this type 
 in the non-Fredholm\, curved setting.\n\nhttps://math-events.uni-bonn.de/e
 vent/1167/
LOCATION:Endenicher Allee 60/1-016 - Lipschitzsaal (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/1167/
END:VEVENT
END:VCALENDAR