Cheeger-Müller and Bismut-Zhang Theorem for Singular Spaces

Meeting ID: 931 7291 0947
For passcode contact Christian Kaiser (kaiser@mpim-bonn.mpg.de)

The famous Cheeger-Müller Theorem states the equality between the analytic (or
Ray-Singer) torsion and the topological torsion of a smooth compact manifold equipped with a unitary flat vector bundle. Using local index techniques and the Witten deformation Bismut and Zhang gave the most general comparison theorem of torsions for a smooth compact manifold.
The aim of this talk is to present a Cheeger-Müller and Bismut-Zhang Theorem, as well as anomaly formulas for the Ray-Singer torsion in the context of singular spaces with conical singularities.

In the first part of this talk, we will start by recalling the classical Cheeger-Müller Theorem for smooth compact manifolds.