Arithmetic of Dehn surgery points
Duration: 57 mins 30 secs
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About this item
| Description: |
Reid, A (University of Texas at Austin)
Tuesday 9th May 2017 - 14:30 to 15:30 |
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| Created: | 2017-05-10 15:50 |
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| Collection: | Non-Positive Curvature Group Actions and Cohomology |
| Publisher: | Isaac Newton Institute |
| Copyright: | Reid, A |
| 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: | Associated to a finite volume hyperbolic 3-manifold is a number field and quaternion algebra over that number field.
Closed hyperbolic 3-manifolds arising from Dehn surgeries on a hyperbolic knot complement provide a family of number fields and quaternion algebras that can be viewed as varying over the canonical component of the character variety of the knot. This talk will investigate this, and give examples of different behavior. The main results will show how this can be explained using the language of Azumaya algebras over a curve. This is joint work with Ted Chinburg and Matthew Stover. |
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