Speaker：Bo Liu（East China Normal University）

Time：2022-06-02, 16:30

Location：Tencent Meeting ID：324832140（Pwd：202206）

Abstract:

In 1989, in order to extend the work of Bismut-Freed, which is a rigorous proof of Witten's holonomy theorem, Bismut and Cheeger studied the adiabatic limit formula for eta invariants for a fibration of closed Spin manifolds under the invertible assumption of the Dirac family along the fibers. Later, Dai extended this result to the case when the kernel of the Dirac family forms a vector bundle over the base manifold. In this talk, we will discuss our recent generalization of the adiabatic limit formula of Bismut-Cheeger-Dai. This is joint work with Zhan Mengqing.