Speaker: Jialin Zhu（Chongqing University of Technology）
Time: 15:00-16:00, August 21, 2023
Room: Room 1124, Material Science Research Building (Section C)
Atiyah-Patodi-Singer index theorem is a generalization of the Atiyah-Singer index theorem to manifolds with boundary where a global boundary condition is imposed. The eta invariant is a spectral invariant appearing in the APS-index theorem as a boundary correction term. We will talk about the proof of a formula relating the APS-index to eta invariant of domain-wall massive Dirac operators, without assuming the boundary Dirac operator is invertible.This formula was originally proposed by some Physicists in the study of lattice gauge theory. Our proof is based on an asymptotic gluing formula for eta invariants in adiabatic limit.
