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Cheeger-Müller and Bismut-Zhang Theorem for Singular Spaces

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Speaker: 
Ursula Ludwig
Affiliation: 
Universität Duisburg-Essen/MPIM
Date: 
Thu, 2022-01-06 15:00 - 16:00
Parent event: 
MPI-Oberseminar

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. 

 

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