00:00:00 / 00:00:00

Mapping class groups of infinite-type surfaces and their actions on hyperbolic graphs

De Priyam Patel

Apparaît dans la collection : Big Mapping Class Groups and Diffeomorphism Groups / Gros groupes modulaires et groupes de difféomorphismes

Given a finite-type surface, there are two important objects naturally associated to it. The first is the mapping class group and the second is the curve graph, which the mapping class group acts on via isometries. This action is well understood and has been extremely useful in understanding the algebraic and geometric properties of mapping class groups. For instance, the elements acting loxodromically on the curve graph and precisely the pseudo-Anosov homeomorphisms. In this talk I'll discuss recent joint work with Carolyn Abbott and Nicholas Miller as well as a project with Sam Taylor regarding infinite-type mapping classes that act as loxodromic isometries on graphs associated to infinite-type surfaces. The aim of these projects is to work towards a Nielsen-Thurston type classification of mapping classes for infinite-type surfaces to understand which homeomorphisms are the generalizations of pseudo-Anosovs is in this setting.

Informations sur la vidéo

Données de citation

  • DOI 10.24350/CIRM.V.19968603
  • Citer cette vidéo Patel, Priyam (11/10/2022). Mapping class groups of infinite-type surfaces and their actions on hyperbolic graphs. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19968603
  • URL https://dx.doi.org/10.24350/CIRM.V.19968603

Dernières questions liées sur MathOverflow

Pour poser une question, votre compte Carmin.tv doit être connecté à mathoverflow

Poser une question sur MathOverflow




Inscrivez-vous

  • Mettez des vidéos en favori
  • Ajoutez des vidéos à regarder plus tard &
    conservez votre historique de consultation
  • Commentez avec la communauté
    scientifique
  • Recevez des notifications de mise à jour
    de vos sujets favoris
Donner son avis
Loading…
Loading the web debug toolbar…
Attempt #