English
Generating big mapping class groups
Multi angle
Auteurs : Fanoni, Federica (Auteur de la Conférence)
CIRM (Editeur )
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 (Editeur )
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Résumé :
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
Codes MSC : 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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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 17/05/2022 Date de captation : 05/05/2022 Sous collection : Research talks arXiv category : Geometric Topology Domaine : Geometry ; Topology Format : MP4 (.mp4) - HD Durée : 00:47:04 Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2022-05-05_Fanoni.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Structures on Surfaces / Structures sur des surfacesOrganisateurs de la rencontre : De Mesmay, Arnaud ; Despré, Vincent ; Hubard, Alfredo ; Parlier, Hugo ; Teillaud, Monique Dates : 02/05/2022 - 06/05/2022 Année de la rencontre : 2022 URL Congrès : https://conferences.cirm-math.fr/2533.html
Données de citation
DOI : 10.24350/CIRM.V.19914703Citer cette vidéo: 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 |
Voir aussi
- [Multi angle] The things one finds in Fock-Goncharov coordinates / Auteur de la Conférence Tillmann, Stephan.
- [Multi angle] Translation structures, ideas and connections / Auteur de la Conférence Judge, Chris.
- [Multi angle] Random maps and hyperbolic surfaces / Auteur de la Conférence Curien, Nicolas.
- [Multi angle] Tantalizing patterns of closed curves on surfaces which became theorems / Auteur de la Conférence Chas, Moira.
Bibliographie
- 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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