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SUMMARY:Ursula Ludwig (University of Duisburg-Essen)
DTSTART:20201208T180000Z
DTEND:20201208T190000Z
DTSTAMP:20260423T035023Z
UID:OSGA/39
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OSGA/39/">An
  Extension of a Theorem by Cheeger and Müller to Spaces with Isolated Con
 ical Singularities</a>\nby Ursula Ludwig (University of Duisburg-Essen) as
  part of Online Seminar "Geometric Analysis"\n\n\nAbstract\nAn important c
 omparison theorem in global analysis is the comparison of analytic and top
 ological torsion for smooth compact manifolds equipped with a unitary flat
  vector bundle. It has been conjectured by Ray and Singer and has been ind
 ependently proved by Cheeger and Mu ̈ller in the 70ies. Bismut and Zhang 
 combined the Witten deformation and local index techniques to generalise t
 he result of Cheeger and Mu ̈ller to arbitrary flat vector bundles with a
 rbitrary Hermitian metrics. The aim of this talk is to present an extensio
 n of the Cheeger-Mu ̈ller theorem to spaces with isolated conical singula
 rities by generalising the proof of Bismut and Zhang to the singular setti
 ng.\n
LOCATION:https://researchseminars.org/talk/OSGA/39/
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