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William Cohen, University of Cambridge
Friday 06 October 2023, 13:45-14:45
3-Manifold Groups Acting Acylindrically on Trees
- 👤 Speaker: William Cohen, University of Cambridge
- 📅 Date & Time: Friday 06 October 2023, 13:45 - 14:45
- 📍 Venue: MR13
Abstract
It was shown by Balasubramanya that any acylindrically hyperbolic group must act acylindrically and non-elementarily on some quasi-tree. It is therefore sensible to ask to what extent this is true for trees, i.e. given an acylindrically hyperbolic group, does it admit a non-elementary acylindrical action on some simplicial tree? In this talk I will introduce the concept of an acylindrically arboreal group and consider some examples of acylindrically hyperbolic groups which do and do not act acylindrically on trees. I will then present a characterisation of when exactly the fundamental groups of closed and orientable hyperbolic 3-manifolds act acylindrically and non-elementarily on trees based entirely on the geometry of the 3-manifolds in question.
Series This talk is part of the Geometric Group Theory (GGT) Seminar series.
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