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SUMMARY:Marco Linton (Warwick)
DTSTART:20220405T130000Z
DTEND:20220405T150000Z
DTSTAMP:20260423T023014Z
UID:WienGAGT/13
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WienGAGT/13/
 ">Primitivity rank\, one-relator groups and hyperbolicity</a>\nby Marco Li
 nton (Warwick) as part of Vienna Geometry and Analysis on Groups Seminar\n
 \n\nAbstract\nThe primitivity rank of an element \\(w\\) of a free group \
 \(F\\) is defined as the minimal rank of a subgroup containing \\(w\\) as 
 an imprimitive element. Recent work of Louder and Wilton has shown that th
 ere is a striking connection between this quantity and the subgroup struct
 ure of the one-relator group \\(F/\\langle\\langle w\\rangle\\rangle\\). I
 n this talk\, I will start by motivating the study of one-relator groups a
 nd survey some recent advancements. Then\, I will show that one-relator gr
 oups whose defining relation has primitivity rank at least 3 are hyperboli
 c\, confirming a conjecture of Louder and Wilton. Finally\, I will discuss
  the ingredients that go into proving this result.\n
LOCATION:https://researchseminars.org/talk/WienGAGT/13/
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