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SUMMARY:Topological Levinson’s theorem for half-line Schrödinger operat
ors
DTSTART;VALUE=DATE-TIME:20210611T120000Z
DTEND;VALUE=DATE-TIME:20210611T130000Z
DTSTAMP;VALUE=DATE-TIME:20210922T025055Z
UID:indico-event-6752@indico.math.cnrs.fr
DESCRIPTION:\nLevinson’s theorem is a fundamental result in quantum scat
tering theory\, which relates the number of bound states and the scatterin
g part of the underlying quantum system. For the last about ten years\, it
has been proved for several models that once recast in an operator algebr
aic framework this relation can be understood as an index theorem for the
wave operators. In this talk\, we first review the background and the fram
ework of our investigation. Then we provide analytical and topological res
ults for Schrödinger operators on the half-line. As time permits\, we als
o discuss an ongoing application to a model arising from group theory.\n\n
\n \n\nhttps://indico.math.cnrs.fr/event/6752/
LOCATION:Institut Camille Jordan Salle Fokko
URL:https://indico.math.cnrs.fr/event/6752/
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