English
Classification of mapping classes of infinite-type surfaces
Multi angle
Auteurs : Fanoni, Federica (Auteur de la Conférence)
CIRM (Editeur )
30F45 - Conformal metrics (hyperbolic, Poincaré, distance functions)
37E30 - Homeomorphisms and diffeomorphisms of planes and surfaces
57K20 - 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.)
CIRM (Editeur )
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Résumé :
Mapping classes of surfaces of finite type have been classified by Nielsen and Thurston. For surfaces of infinite type (e.g. surfaces of infinite genus), no such classification is known. I will talk about the difficulties that arise when trying to generalize the Nielsen-Thurston classification to infinite-type surfaces and present a first result in this direction, concerning maps which - loosely speaking - do not show any pseudo-Anosov behavior. Joint work with Mladen Bestvina and Jing Tao.
Keywords : Mapping class groups; Nielsen-Thurston classification; surfaces of infinite-type
Codes MSC : Keywords : Mapping class groups; Nielsen-Thurston classification; surfaces of infinite-type
30F45 - Conformal metrics (hyperbolic, Poincaré, distance functions)
37E30 - Homeomorphisms and diffeomorphisms of planes and surfaces
57K20 - 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.)
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Informations sur la Vidéo
Réalisateur : Recanzone, LucaLangue : Anglais Date de publication : 22/12/2023 Date de captation : 07/12/2023 Sous collection : Research talks arXiv category : Group Theory Domaine : Geometry Format : MP4 (.mp4) - HD Durée : 00:59:19 Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2023-12-07_Fanoni.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Jean Morlet Chair - Conference - Renormalization and Visualization in Geometry, Dynamics and number theory / Chaire Jean-Morlet - Conférence - Renormalisation et visualisation en géométrie, dynamique et théorie des nombresOrganisateurs de la rencontre : Athreya, Jayadev ; Bedaride, Nicolas Dates : 04/12/2023 - 08/12/2023 Année de la rencontre : 2023 URL Congrès : https://conferences.cirm-math.fr/2798.html
Données de citation
DOI : 10.24350/CIRM.V.20116603Citer cette vidéo: Fanoni, Federica (2023). Classification of mapping classes of infinite-type surfaces. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20116603 URI : http://dx.doi.org/10.24350/CIRM.V.20116603 |
Voir aussi
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- [Multi angle] Connectivity of Markoff mod-p graphs / Auteur de la Conférence Fuchs, Elena.
- [Multi angle] Renormalisation via continued fractions in symbolic dynamics / Auteur de la Conférence Berthé, Valérie.
Bibliographie
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