Hyperbolic generalized triangle groups, property (T) and finite simple quotients
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About this item
| Description: |
Caprace, P
Thursday 20th February 2020 - 16:00 to 17:00 |
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| Created: | 2020-02-21 15:51 |
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| Collection: | Groups, representations and applications: new perspectives |
| Publisher: | Isaac Newton Institute |
| Copyright: | Caprace, P |
| 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: | It is a long-standing open problem in Geometric Group Theory to
determine whether all Gromov hyperbolic groups are residually finite. Contributions of Olshanskii imply that, in order to answer this question in the negative, it suffices to find a hyperbolic group that does not admit finite simple quotients of arbitrarily large rank. In this talk, I will report on efforts in identifying explicit candidates of such a hyperbolic group, and explain a connection with Kazhdan's property (T). This is partly based on an experimental case study on generalized triangle groups, conducted jointly with Marston Conder, Marek Kaluba and Stefan Witzel. |
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