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SUMMARY:Islam Foniqi (University of East Anglia)
DTSTART:20251106T134500Z
DTEND:20251106T144500Z
DTSTAMP:20260423T021034Z
UID:GaTO/124
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GaTO/124/">S
 ubmonoid membership problems in one-relator groups and monoids\, surface g
 roups\, and beyond</a>\nby Islam Foniqi (University of East Anglia) as par
 t of Geometry and topology online\n\nLecture held in Room B3.02 in the Zee
 man Building\, University of Warwick.\n\nAbstract\nThe word problem for on
 e-relator monoids remains one of the long-standing open questions in combi
 natorial algebra. One way to approach it is by studying related decision p
 roblems\, in particular the submonoid membership problem\, in both monoids
  and groups. In this talk\, I will discuss how these problems are connecte
 d\, drawing on classical work by Adian and Guba. I will also highlight the
  role of embeddings of right-angled Artin groups and trace monoids\, which
  offer useful insights into the structure of these questions. Finally\, I 
 will present recent joint results with Robert D. Gray on the submonoid mem
 bership problem in surface groups\, and in the broader hyperbolic setting.
 \n
LOCATION:https://researchseminars.org/talk/GaTO/124/
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