Abstract:

Abstract: The Eta invariant appeared for the first time as a correction term in Atiyah-Patodi-Singer Index formula for manifolds with boundary. It can be thought of as regularized signature for infinite matrices which measures the amount of spectral asymmetry. I will first introduce the eta function of a self adjoint differential operator and explain the meromorphic structure of it, then I will give a variational proof for the conformal invariance of the eta invariant for the class of conformally covariant differential operators.