Séminaire Géométrie et groupes discrets

Big mapping class groups

par Prof. Ferrán Valdez (UNAM & Max Planck Institute)

Europe/Paris
Amphithéâtre Léon Motchane (IHES)

Amphithéâtre Léon Motchane

IHES

Le Bois Marie 35, route de Chartres 91440 Bures-sur-Yvette
Description

Mapping class groups associated to surfaces whose fundamental group is not finitely generated are called "big", and their study is linked to classical problems in dynamics. In this talk, we discuss some of the basic properties of big mapping class groups, their simplicial actions, and how these can be used to prove that big mapping class groups "detect" surfaces or (if time allows) that the space of non-trivial quasimorphisms of a big mapping class group is infinite dimensional.

Organisé par

Fanny Kassel

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