19.07.2024, 10:15 - 11:30
– 2.28.0.108
SFB-Kolloquium
SFB Colloquium with Edriss Titi
Edriss Titi , University of Cambridge
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)