Conference item
Virtual fibring of manifolds and groups
- Abstract:
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The topic of this survey is the phenomenon of fibring over the circle for manifolds, and its group-theoretic twin, algebraic fibring. We will discuss the state of the art, and explain briefly some of the ideas behind the more recent developments, focusing on RFRS groups and manifolds with such fundamental groups. Then we will move on to a more speculative part, where many conjectures about fibring in higher dimensions will be given. The conjectures vary in their level of plausibility, but even the boldest of them might share the fate of Thurston’s Virtually Fibred Conjecture, about which Thurston famously said: “This dubious-sounding question seems to have a definite chance for a positive answer”.
- Publication status:
- Accepted
- Peer review status:
- Peer reviewed
Actions
Authors
- Acceptance date:
- 2025-10-01
- Event title:
- International Congress of Mathematicians (ICM 2026)
- Event website:
- https://www.icm2026.org/event/ac193975-5d24-4628-8c30-ddb23de19a8b/home
- Event start date:
- 2026-07-23
- Event end date:
- 2026-07-30
- Language:
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English
- Pubs id:
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2295936
- Local pid:
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pubs:2295936
- Deposit date:
-
2025-10-02
- ARK identifier:
Terms of use
- Notes:
- This conference paper has been accepted for presentation at International Congress of Mathematicians 2026.
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