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SUMMARY:Embeddings between square-free right-angled Artin groups
DTSTART:20261106T140000Z
DTEND:20261106T150000Z
DTSTAMP:20261104T073900Z
UID:indico-event-1730@math-events.uni-bonn.de
DESCRIPTION:Speakers: Adrien Abgrall (École Normale Supérieure de Lyon)\
 n\nA result of Droms states that two right-angled Artin groups (RAAGs) are
  isomorphic if and only if their defining graphs are isomorphic. However\,
  deciding whether one RAAG embeds as a subgroup of another is a much harde
 r\, and largely open\, problem. Substantial progress was made by Kim and K
 oberda\, notably solving the two-dimensional case\, relying on their defin
 ition of the extension graph of a RAAG\, an object somewhat analogous to t
 he curve graph of a surface. Quasi-isometric embedding between RAAGs was a
 lso recently studied by Bader–Bensaïd–Petyt. I will present a joint w
 ork with Sasha Gurieva and Camille Horbez where we investigate measurable 
 embedding\, a measured analogue of coarse embedding. We completely charact
 erize measurable embedding among square-free RAAGs (i.e. RAAGs that do not
  contain F2 x F2). Interestingly\, the characterization is both in terms o
 f subgroup embedding and of extension graphs. It is also algorithmically d
 ecidable.\n\nhttps://math-events.uni-bonn.de/event/1730/
LOCATION:Endenicher Allee 60/1-016 - Lipschitzsaal (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/1730/
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