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Generating big mapping class groups
Multi angle
Authors : Fanoni, Federica (Author of the conference)
CIRM (Publisher )
20F05 - Generators, relations, and presentations of groups
20F65 - Geometric group theory
57K20 - 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.)
CIRM (Publisher )
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Abstract :
The mapping class group of a surface is the group of its homeomorphisms up to homotopy. A natural question to ask is: what is a good set of generators? If the surface is compact (or more generally of finite type) there are multiple satisfactory answers. If the surface is of infinite type, the question is wide open. I will discuss this problem and present a partial (negative) result in this context. Joint work with Sebastian Hensel.
Keywords : mapping class groups; infinite-type surfaces; generators; Dehn twists
MSC Codes : Keywords : mapping class groups; infinite-type surfaces; generators; Dehn twists
20F05 - Generators, relations, and presentations of groups
20F65 - Geometric group theory
57K20 - 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.)
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 17/05/2022 Conference Date : 05/05/2022 Subseries : Research talks arXiv category : Geometric Topology Mathematical Area(s) : Geometry ; Topology Format : MP4 (.mp4) - HD Video Time : 00:47:04 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2022-05-05_Fanoni.mp4 
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Information on the Event
Event Title : Structures on Surfaces / Structures sur des surfacesEvent Organizers : De Mesmay, Arnaud ; Despré, Vincent ; Hubard, Alfredo ; Parlier, Hugo ; Teillaud, Monique Dates : 02/05/2022 - 06/05/2022 Event Year : 2022 Event URL : https://conferences.cirm-math.fr/2533.html
Citation Data
DOI : 10.24350/CIRM.V.19914703Cite this video as: Fanoni, Federica (2022). Generating big mapping class groups. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19914703 URI : http://dx.doi.org/10.24350/CIRM.V.19914703 |
See Also
- [Multi angle] The things one finds in Fock-Goncharov coordinates / Author of the conference Tillmann, Stephan.
- [Multi angle] Translation structures, ideas and connections / Author of the conference Judge, Chris.
- [Multi angle] Random maps and hyperbolic surfaces / Author of the conference Curien, Nicolas.
- [Multi angle] Tantalizing patterns of closed curves on surfaces which became theorems / Author of the conference Chas, Moira.
Bibliography
- FANONI, FEDERICA et HENSEL, SEBASTIAN. A NOTE ON THE PURE MAPPING CLASS GROUP OF AN INFINITE-TYPE SURFACE OF FINITE GENUS. 2021. - https://www.math.lmu.de/~hensel/papers/Multitwistsdontgenerate.pdf
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