Non-arithmetic lattices
Duration: 1 hour 12 mins
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About this item
| Description: |
Parker, J (University of Durham)
Tuesday 25th April 2017 - 11:00 to 12:00 |
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| Created: | 2017-04-28 10:57 |
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| Collection: | Non-Positive Curvature Group Actions and Cohomology |
| Publisher: | Isaac Newton Institute |
| Copyright: | Parker, J |
| 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: | In 1980 Mostow found the first examples of non-arithmetic lattices in PU(2,1). More examples were found and Deligne and Mostow gave a list of examples in 1986. Work of McMullen, based on work of Kappes and Moeller, showed there are 9 commensurability classes of non-arithmeticlattices in PU(2,1) on this list. No new examples were found until my recent work with Deraux and Paupert. We have constructed 13 new commensurability classes. I will give a history of this problem and then outline our recent results. |
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