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SUMMARY:On extensions of Index=Spectral Flow beyond the Fredholm case [Obe
 rseminar Global Analysis and Operator Algebras]
DTSTART:20261020T121500Z
DTEND:20261020T134500Z
DTSTAMP:20261031T035000Z
UID:indico-event-1668@math-events.uni-bonn.de
DESCRIPTION:Speakers: Oliver Fürst (Mathematisches Institut)\n\nFor a fam
 ily $A(t)$\, $t\\in\\mathbb{R}$\, of self-adjoint operators\nin Hilbert sp
 ace $H$ we consider the perturbed differential operator\n$D=\\partial_{t}+
 A(t)$ acting in L^2(\\mathbb{R}\,H)$. This so called\nRobbin-Salamon type 
 operator has been prominently studied in the context\nof the Atiyah-Patodi
 -Singer index theorem and led to the invention of the\nspectral flow of a 
 Fredholm family of operators.\nIn this talk we will present a new result b
 eyond the Fredholm case. We\nwill show that a wide range of useful example
 s for the family $A$ are now\namenable\, among which are perturbed fractio
 nal Laplacians\, certain\nsymmetric hyperbolic systems and conformal famil
 ies of Dirac operators.This is joint work with Jilly Kevo (IAM Bonn)\n\nht
 tps://math-events.uni-bonn.de/event/1668/
LOCATION:Endenicher Allee 60/1-008 (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/1668/
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