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SUMMARY:Dirac-Schrödinger operators and a Toeplitz index theorem [Obersem
 inar Global Analysis and Operator Algebras]
DTSTART:20250513T121500Z
DTEND:20250513T131500Z
DTSTAMP:20260305T165300Z
UID:indico-event-387@math-events.uni-bonn.de
DESCRIPTION:Speakers: Koen van den Dungen (Mathematical Institute)\n\nDira
 c-Schrödinger operators are given by Dirac-type operators on a smooth man
 ifold\, together with a potential. I will describe a general notion of Dir
 ac-Schrödinger operators with arbitrary signatures (with or without gradi
 ngs)\, which allows us to study index pairings and spectral flow simultane
 ously. There is a general Callias Theorem\, which computes the Fredholm in
 dex (or the spectral flow) of Dirac-Schrödinger operators in terms of wel
 l-known index pairings on a suitable compact hypersurface. I will then foc
 us on the associated Toeplitz operators\, which are obtained by compressin
 g the potential to the kernel of the Dirac operator\, and I will provide a
  general index theorem (and a spectral flow theorem) relating Toeplitz ope
 rators on the original manifold to Toeplitz operators on the compact hyper
 surface.  \n\nhttps://math-events.uni-bonn.de/event/387/
LOCATION:Seminar room 1.008 (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/387/
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