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SUMMARY:Infinitely Edge-Connected Graphs - Jan Kurkofka (Birmingham)
DTSTART:20211118T143000Z
DTEND:20211118T153000Z
UID:TALK165979@talks.cam.ac.uk
CONTACT:HoD Secretary\, DPMMS
DESCRIPTION:The Farey graph plays a role in a number of mathematical field
 s ranging from\ngroup theory and number theory to geometry and dynamics. C
 uriously\, graph\ntheory is not among these. We show that the Farey graph 
 plays a central role\nin graph theory too: it is one of two infinitely edg
 e-connected graphs that\nmust occur as a minor in every infinitely edge-co
 nnected graph. Previously it\nwas not known that there was any set of grap
 hs determining infinite\nedge-connectivity by forming a minor-minimal list
  in this way\, let alone a\nfinite set.
LOCATION:MR12
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