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SUMMARY:Alex Evetts (University of Manchester)
DTSTART:20240517T110000Z
DTEND:20240517T115000Z
DTSTAMP:20260416T220114Z
UID:GiG2024/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GiG2024/8/">
 Twisted conjugacy growth of virtually nilpotent groups</a>\nby Alex Evetts
  (University of Manchester) as part of Groups in Galway 2024\n\nLecture he
 ld in McMunn lecture theatre.\n\nAbstract\nThe conjugacy growth function o
 f a finitely generated group is a variation of the standard growth functio
 n\, counting the number of conjugacy classes intersecting the $n$-ball in 
 the Cayley graph. The asymptotic behaviour is not a commensurability invar
 iant in general\, but the conjugacy growth of finite extensions can be und
 erstood via the twisted conjugacy growth function\, counting automorphism-
 twisted conjugacy classes. I will discuss what is known about the asymptot
 ic and formal power series behaviour of (twisted) conjugacy growth\, in pa
 rticular some relatively recent results for certain groups of polynomial g
 rowth (i.e. virtually nilpotent groups).\n
LOCATION:https://researchseminars.org/talk/GiG2024/8/
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