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Analytic torsion for locally symmetric spaces of finite volume
Multi angle
Authors : Müller, Werner (Author of the conference)
CIRM (Publisher )
53C35 - Symmetric spaces (differential geometry)
58J52 - Determinants and determinant bundles, analytic torsion
CIRM (Publisher )
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Abstract :
This is joint work with Jasmin Matz. The goal is to introduce a regularized version of the analytic torsion for locally symmetric spaces of finite volume and higher rank. Currently we are able to treat quotients of the symmetric space $SL(n,\mathbb{R})/SO(n)$ by congruence subgroups of $SL(n,\mathbb{Z})$. The definition of the analytic torsion is based on the study of the renormalized trace of the corresponding heat operators. The main tool is the Arthur trace formula. I will also discuss problems related to potential applications to the cohomology of arithmetic groups.
MSC Codes : 53C35 - Symmetric spaces (differential geometry)
58J52 - Determinants and determinant bundles, analytic torsion
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 01/07/16 Conference Date : 14/06/16 Subseries : Research talks arXiv category : Spectral Theory Mathematical Area(s) : Topology ; Geometry Format : MP4 (.mp4) - HD Video Time : 01:02:54 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2016-06-14_Muller.mp4 
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Information on the Event
Event Title : Analysis, geometry and topology of stratified spaces / Analyse, géométrie et topologie des espaces stratifiésEvent Organizers : Mazzeo, Rafe ; Leichtnam, Eric ; Piazza, Paolo Dates : 13/06/16 - 17/06/16 Event Year : 2016 Event URL : http://conferences.cirm-math.fr/1422.html
Citation Data
DOI : 10.24350/CIRM.V.19001203Cite this video as: Müller, Werner (2016). Analytic torsion for locally symmetric spaces of finite volume. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19001203 URI : http://dx.doi.org/10.24350/CIRM.V.19001203 |
See Also
- [Multi angle] An Obata-Lichnerowicz theorem for stratified spaces / Author of the conference Mondello, Ilaria.
- [Multi angle] On the Hodge-Kodaira Laplacian on the canonical bundle of a compact Hermitian complex space / Author of the conference Bei, Francesco.
- [Multi angle] Extending the Cheeger-Müller theorem through degeneration / Author of the conference Albin, Pierre.
- [Multi angle] $L^2$-cohomology and the theory of weights / Author of the conference Saper, Leslie.
- [Post-edited] The $\mathbb{L}^ \bullet$-Homology fundamental class for singular spaces and the stratified Novikov conjecture / Author of the conference Banagl, Markus.
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