Generalized Bestvina-Brady groups and their applications
Duration: 58 mins 52 secs
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About this item
| Description: |
Leary, I
Wednesday 21st June 2017 - 09:00 to 10:00 |
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| Created: | 2017-07-19 14:30 |
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| Collection: | Non-Positive Curvature Group Actions and Cohomology |
| Publisher: | Isaac Newton Institute |
| Copyright: | Leary, I |
| 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: | Co-authors: Robert Kropholler (Tufts University), Ignat Soroko (University of Oklahoma)
In the 1990's Bestvina and Brady used Morse theory to exhibit (as subgroups of right-angled Artin groups) the first examples of groups that are but not finitely presented. The speaker has generalized this construction, via branched coverings, to construct continuously many groups of type , including groups of type FP that do not embed in any finitely presented group. I shall discuss the construction and some applications, including the theorem that every countable group embeds in a group of type and the construction of continuously many quasi-isometry classes of acyclic 4-manifolds admitting free, cocompact, properly discontinuous discrete group action (the latter joint with Robert Kropholler and Ignat Soroko). Related Links https://arxiv.org/abs/1512.06609 - Archive link to preprint with main result https://arxiv.org/abs/1610.05813 - Archive link to preprint on subgroups of groups |
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