2022 - T2 - WS1 - Mapping class groups and Out(Fn)

Collection 2022 - T2 - WS1 - Mapping class groups and Out(Fn)

Organizer(s) Baik, Hyungryul ; Bestvina, Mladen ; Horbez, Camille ; Rafi, Kasra ; Vogtmann, Karen

Date(s) 25/04/2022 - 29/04/2022

linked URL https://indico.math.cnrs.fr/event/6575/

2 15

On the asymptotic geometry of the mapping class group

By Ursula Hamenstädt

We show that the mapping class group of a closed surface of higher genus admits a proper action on a nonpositively curved cube complex (which is however not simply connected). We use this information together with a construction of Ji and McPhearson to study its asymptotic geometry. As an application, we show that the covering dimension of the Gromov boundary of the curve graph is at most $4g − 6$ (which slightly improves a result of Gabai and is conjectured to be sharp).

Information about the video

Date of recording 25/04/2022
Date of publication 07/05/2024
Institution IHP
Language English
Audience Researchers
Director(s) Florence Lajoinie
Format MP4
Venue IHP - Hermite Amphitheater

Citation data

DOI 10.57987/IHP.2022.T2.WS1.002
Cite this video Hamenstädt, Ursula (25/04/2022). On the asymptotic geometry of the mapping class group. IHP. Audiovisual resource. DOI: 10.57987/IHP.2022.T2.WS1.002
URL https://dx.doi.org/10.57987/IHP.2022.T2.WS1.002

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