ICTS:30484

Video URL

Conjugacy growth in groups (Online)

Conjugacy growth in groups (Online)

(2024). Conjugacy growth in groups (Online). SciVideos. https://youtube.com/live/sTORqAojuzQ

Conjugacy growth in groups (Online). SciVideos, Dec. 11, 2024, https://youtube.com/live/sTORqAojuzQ 

          @misc{ scivideos_ICTS:30484,
            doi = {},
            url = {https://youtube.com/live/sTORqAojuzQ},
            author = {},
            keywords = {},
            language = {en},
            title = {Conjugacy growth in groups (Online)},
            publisher = {},
            year = {2024},
            month = {dec},
            note = {ICTS:30484 see, \url{https://scivideos.org/index.php/icts-tifr/30484}}
          }
Gemma Crowe
Talk numberICTS:30484
Source RepositoryICTS-TIFR
Collection

Abstract

Similar to standard growth of (finitely generated) groups, one can define conjugacy growth of groups which, informally, counts the number of conjugacy classes in a ball of radius n in a Cayley graph. This was first studied by Riven for free groups, and techniques from geometry, combinatorics and formal language theory have proven to be useful for determining information about the conjugacy growth series for a variety of groups.
This talk will provide a survey on the key tools and results about conjugacy growth. Time permitting, I’ll also discuss joint work with Laura Ciobanu, where we studied conjugacy growth in dihedral Artin groups.