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UID:20260916T022632EDT-0600nDz1Zj@132.216.98.100
DTSTAMP:20260916T062632Z
DESCRIPTION:Title: From Geometric Group Theory to Structural Graph Theory\n
 \nAbstract: Geometric group theory extracts information about a finitely g
 enerated group from the large-scale geometry of its Cayley graph. Coarse i
 nvariants such as the number of ends\, hyperbolicity\, and growth have pow
 erful consequences\, most famously Stallings’ theorem\, which detects spli
 ttings of groups from their ends\, and the cubulating groups via actions o
 n CAT(0) cube complexes. A natural generalization of Cayley graphs is give
 n by transitive graphs\, i.e. graphs whose automorphism group acts transit
 ively on vertices. Many coarse-geometric notions (ends\, hyperbolicity\, g
 rowth) extend naturally to this broader setting\, but transferring group-t
 heoretic structure theorems to transitive graphs requires new tools.\n\nIn
  this talk I introduce methods from structural graph theory\, especially t
 ree decompositions and median decompositions and explain how they provide 
 a framework for extending key results from geometric group theory to trans
 itive graphs. In particular\, I discuss analogues of Stallings-type splitt
 ing phenomena and connections to cubulations via median structures.\n\nWe 
 will gather in the lounge for teatime after the talk\, and then we will go
  for dinner with Bobby.\n\n \n
DTSTART:20260211T210000Z
DTEND:20260211T220000Z
LOCATION:Room 1104\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Bobby Miraftab (Carleton University)
URL:https://www.mcgill.ca/mathstat/channels/event/bobby-miraftab-carleton-u
 niversity-371167
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