Speaker: Xiaonan Ma

Title: Comparison of two equivariant eta forms

Abstract: In 2000, Goette compared two equivariant eta invariants in the sense of formal power series when the group action is locally free. Thus he got the the singular behavior of the equivariant eta invariant near the identity element. In this talk, we explain the general comparison formula for two equivariant eta invariants, and as a consequence, the equivariant eta form of Bismut-Cheeger is an analytic function with singularity as a function on the group. This is a joint work with Bo Liu, and this result is used in our recent work on the localization formula of the equivariant eta invariants.