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SUMMARY:Are free groups of different rank bi-invariantly quasi-isometric? 
 - Jarosław  Kędra (University of Aberdeen)
DTSTART:20240617T133000Z
DTEND:20240617T140000Z
UID:TALK217801@talks.cam.ac.uk
DESCRIPTION:Let F be a free group equipped with the bi-invariant word metr
 ic associated with the generating set consisting of the standard generator
 s and their conjugates. I will prove that a homomorphism between free grou
 ps of finite rank is a quasi-isometry if and only if it is an isomorphism.
  This is in contrast with the classical Geometric Group Theory where an in
 clusion of a finite index subgroup is a quasi-isometry. &nbsp\;I don't kno
 w an example of a quasi-isometry between free groups of different rank. In
  particular\, the question from the title is open. Joint work with Assaf L
 ibman.
LOCATION:External
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