Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Ursula Ludwig
Affiliation:

Universität Duisburg-Essen/MPIM
Date:

Thu, 06/01/2022 - 15:00 - 16:00 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.

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/node/158