Extending the Cheeger-Müller theorem through degeneration | Vidéo | Carmin.tv

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Extending the Cheeger-Müller theorem through degeneration

By Pierre Albin

Appears in collection : Analysis, geometry and topology of stratified spaces / Analyse, géométrie et topologie des espaces stratifiés

Reidemeister torsion was the first topological invariant that could distinguish between spaces which were homotopy equivalent but not homeomorphic. The Cheeger-Müller theorem established that the Reidemeister torsion of a closed manifold can be computed analytically. I will report on joint work with Frédéric Rochon and David Sher on finding a topological expression for the analytic torsion of a manifold with fibered cusp ends. Examples of these manifolds include most locally symmetric spaces of rank one. We establish our theorem by controlling the behavior of analytic torsion as a space degenerates to form hyperbolic cusp ends.

Information about the video

Date of recording 14/06/2016
Date of publication 01/07/2016
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19001903
Cite this video Albin, Pierre (14/06/2016). Extending the Cheeger-Müller theorem through degeneration. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19001903
URL https://dx.doi.org/10.24350/CIRM.V.19001903

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Bibliography

Albin, P., Rochon, F., & Sher, D. (2015). Resolvent, heat kernel and torsion under degeneration to fibered cusps. <arXiv:1410.8406> - https://arxiv.org/pdf/1410.8406.pdf

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