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SUMMARY:Sylvie Paycha (Universität Potsdam)
DTSTART:20210210T200000Z
DTEND:20210210T210000Z
DTSTAMP:20260420T052656Z
UID:NYC-NCG/39
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NYC-NCG/39/"
 >Regularised traces and Getzler’s rescaling revisited</a>\nby Sylvie Pay
 cha (Universität Potsdam) as part of Noncommutative geometry in NYC\n\n\n
 Abstract\nInspired by Gilkey's invariance theory\,  Connes' deformation to
  the\nnormal cone and Getzler's rescaling method\, we single out a class o
 f\ngeometric operators among pseudodifferential operators acting on\nsecti
 ons of a class of natural vector bundles\, to which we attach a \nrescalin
 g  degree.\nThis degree is then used to express regularised traces of   ge
 ometric\noperators in terms of a rescaled limit of Wodzicki residues. When
 \napplied to complex powers of the square of a Dirac operator\, this \namo
 unts to expressing the index of a Dirac operator in terms of a local\nresi
 due  involving the Getzler  rescaled limit of its square.\n\nThis  is join
 t work with Georges Habib.\n
LOCATION:https://researchseminars.org/talk/NYC-NCG/39/
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