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SUMMARY:Marco Linton (Warwick)
DTSTART:20220428T140500Z
DTEND:20220428T145500Z
DTSTAMP:20260423T003233Z
UID:GaTO/59
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GaTO/59/">Hy
 perbolicity of certain one-relator groups</a>\nby Marco Linton (Warwick) a
 s part of Geometry and topology online\n\n\nAbstract\nThe primitivity rank
  of an element \\(w\\) of a free group \\(F\\) is defined as the minimal r
 ank of a subgroup containing w as an imprimitive element.  Recent work of 
 Louder and Wilton has shown that there is a strong connection between this
  quantity and the subgroup structure of the one-relator group \\(F/\\langl
 e \\langle w \\rangle \\rangle\\).  In particular\, they show that one-rel
 ator groups whose defining relation has primitivity rank at least three ca
 nnot contain Baumslag—Solitar subgroups\, leading them to conjecture tha
 t such groups are hyperbolic.  In this talk\, I will confirm and strengthe
 n this conjecture\, providing some applications.\n
LOCATION:https://researchseminars.org/talk/GaTO/59/
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