24.04.2024, 14:00 - 15:00
– Campus Golm, Building 5, Room 2.05.0.01
Informationsveranstaltung
Zentrale Arbeitsschutzunterweisung
Frau Zilm (Bereich Sicherheitswesen)
Maxim Braverman (Northeastern Univ., Boston, USA)
We study the index of the APS boundary value problem for a strongly Callias-type operator D on a complete Riemannian manifold M. We use this index to define the relative eta-invariant of two strongly Callias-type operators A and A', which are equal outside of a compact set. Even though in our situation the eta-invariants of A and A' are not defined, the relative eta-invariant behaves as if it were the difference of the eta-invariants of A and A'. We also define the spectral flow of a family of such operators and use it compute the variation of the relative eta-invariant.
(Joint work with Pengshuai Shi)