Ursula Ludwig - An Extension of a Theorem by Cheeger and Müller to Spaces with Isolated Conical Singularities

Tuesday, December 8, 2020 - 13:00
Speaker Information
Ursula Ludwig
University of Duisburg-Essen

Abstract or Additional Information

An important comparison theorem in global analysis is the comparison of analytic and topological torsion for smooth compact manifolds equipped with a unitary flat vector bundle. It has been conjectured by Ray and Singer and has been independently proved by Cheeger and Mu ̈ller in the 70ies. Bismut and Zhang combined the Witten deformation and local index techniques to generalise the result of Cheeger and Mu ̈ller to arbitrary flat vector bundles with arbitrary Hermitian metrics. The aim of this talk is to present an extension of the Cheeger-Mu ̈ller theorem to spaces with isolated conical singularities by generalising the proof of Bismut and Zhang to the singular setting.

Research Area