ICTS:31232

Video URL

Amenable action for Groups with weak hyperbolicity properties

Amenable action for Groups with weak hyperbolicity properties

(2025). Amenable action for Groups with weak hyperbolicity properties. SciVideos. https://youtube.com/live/0tqa151nip4

Amenable action for Groups with weak hyperbolicity properties. SciVideos, Mar. 05, 2025, https://youtube.com/live/0tqa151nip4 

          @misc{ scivideos_ICTS:31232,
            doi = {},
            url = {https://youtube.com/live/0tqa151nip4},
            author = {},
            keywords = {},
            language = {en},
            title = {Amenable action for Groups with weak hyperbolicity properties},
            publisher = {},
            year = {2025},
            month = {mar},
            note = {ICTS:31232 see, \url{https://scivideos.org/index.php/icts-tifr/31232}}
          }
Shubhabrata Das
Talk numberICTS:31232
Source RepositoryICTS-TIFR
Collection

Abstract

Amenability of a group action is a dynamical generalisation of amenability for groups, with interesting applications in geometry and topology. Many (non-amenable) groups, like the Gromov hyperbolic groups, relatively hyperbolic groups (with suitable parabolic subgroups), mapping class groups of surfaces and outer automorphism groups of free groups admit amenable actions.

In this talk we will define amenable action of a group and outline two constructions of amenable actions for (i) acylindrically hyperbolic groups and (ii) hierarchically hyperbolic groups, which generalise some of the above classes of groups, and thereby giving a new proof of amenable action for the mapping class groups. This is based on a joint work with Partha Sarathi Ghosh.