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The Borel complexity of the space of left-orderings
Multi angle
Authors : Calderoni, Filippo (Author of the conference)
CIRM (Publisher )
03E15 - Descriptive set theory
06F15 - Ordered groups, See also {20F60}
20F60 - Ordered groups (group aspects)
57K30 - General topology of 3-manifolds
57K18 - Homology theories in knot theory (Khovanov, Heegaard-Floer, etc.)
CIRM (Publisher )
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Abstract :
A group is left-orderable if it admits a strict total order that is left-invariant under the group operation. The space of left-orderings of a given countable group is a well studied compact Polish space whose topological and dynamical features interact with the algebraic properties of the group. In this talk I will discuss the Borel complexity of the conjugacy equivalence relation on the spaces of left-orderings. This is joint work with Adam Clay.
Keywords : Borel reducibility; left-orderable groups; Borel equivalence relations
MSC Codes : Keywords : Borel reducibility; left-orderable groups; Borel equivalence relations
03E15 - Descriptive set theory
06F15 - Ordered groups, See also {20F60}
20F60 - Ordered groups (group aspects)
57K30 - General topology of 3-manifolds
57K18 - Homology theories in knot theory (Khovanov, Heegaard-Floer, etc.)
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 20/11/2023 Conference Date : 09/10/2023 Subseries : Research talks arXiv category : Logic Mathematical Area(s) : Logic and Foundations ; Topology Format : MP4 (.mp4) - HD Video Time : 00:52:21 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2023-10-09_Calderoni.mp4 
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Information on the Event
Event Title : XVII International Luminy Workshop in Set Theory / XVII Atelier International de Théorie des EnsemblesEvent Organizers : Fischer, Vera ; Velickovic, Boban ; Viale, Matteo Dates : 09/10/2023 - 13/10/2023 Event Year : 2023 Event URL : https://conferences.cirm-math.fr/2860.html
Citation Data
DOI : 10.24350/CIRM.V.20104903Cite this video as: Calderoni, Filippo (2023). The Borel complexity of the space of left-orderings. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20104903 URI : http://dx.doi.org/10.24350/CIRM.V.20104903 |
See Also
- [Multi angle] Forcing over determinacy / Author of the conference Sargsyan, Grigor.
- [Multi angle] Large minimal non-sigma-scattered linear orders / Author of the conference Moore, Justin.
- [Multi angle] Generic absoluteness for the definable powerset of the universally Baire sets / Author of the conference Müller, Sandra.
- [Multi angle] A journey guided by the stars / Author of the conference Lietz, Andreas.
Bibliography
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