Universal L2-torsion for free-by-cyclic groups
Duration: 50 mins 47 secs
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About this item
| Description: |
Kielak, D
Tuesday 20th June 2017 - 10:00 to 11:00 |
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| Created: | 2017-07-18 09:31 |
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| Collection: | Non-Positive Curvature Group Actions and Cohomology |
| Publisher: | Isaac Newton Institute |
| Copyright: | Kielak, D |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
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| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| Abstract: | The universal L2-torsion, introduced by Friedl and Lück, allows for an extension of the Thurston norm from the setting of 3-manifolds to that of free-by-cyclic groups. We will discuss this extension, and show that this norm and the Alexander norm for F2-by-Z satisfy an inequality analogous to the one satisfied by the Thurston and Alexander norms on 3-manifolds. We will also discuss the relationship between the universal L2-torsion and the Bieri-Neumann-Strebel invariants.
This is joint work with Florian Funke. |
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