Français
Classification of mapping classes of infinite-type surfaces
Multi angle
Authors : Fanoni, Federica (Author of the conference)
CIRM (Publisher )
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 (Publisher )
Loading the player...
|
Abstract :
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
MSC Codes : 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.)
|
Information on the Video
Film maker : Recanzone, LucaLanguage : English Available date : 22/12/2023 Conference Date : 07/12/2023 Subseries : Research talks arXiv category : Group Theory Mathematical Area(s) : Geometry Format : MP4 (.mp4) - HD Video Time : 00:59:19 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2023-12-07_Fanoni.mp4 
|
Information on the Event
Event Title : 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 nombresEvent Organizers : Athreya, Jayadev ; Bedaride, Nicolas Dates : 04/12/2023 - 08/12/2023 Event Year : 2023 Event URL : https://conferences.cirm-math.fr/2798.html
Citation Data
DOI : 10.24350/CIRM.V.20116603Cite this video as: 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 |
See Also
- [Multi angle] On Novikov's problem for foliations of surfaces and interval exchange transformations with flips / Author of the conference Hubert, Pascal.
- [Multi angle] Shear coordinates of Weil-Petersson circle homeomorphisms / Author of the conference Wang, Yilin.
- [Multi angle] Billiards and number theory / Author of the conference McMullen, Curtis T..
- [Multi angle] Connectivity of Markoff mod-p graphs / Author of the conference Fuchs, Elena.
- [Multi angle] Renormalisation via continued fractions in symbolic dynamics / Author of the conference Berthé, Valérie.
Bibliography
Imagette Video
