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SUMMARY:Daniel Berlyne (Bristol)
DTSTART:20221027T130500Z
DTEND:20221027T140000Z
DTSTAMP:20260423T003234Z
UID:GaTO/74
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GaTO/74/">Br
 aid groups of graphs</a>\nby Daniel Berlyne (Bristol) as part of Geometry 
 and topology online\n\nLecture held in Room B3.02 in the Zeeman Building\,
  University of Warwick.\n\nAbstract\nThe braid group of a space \\(X\\) is
  the fundamental group of its configuration space\, which tracks the motio
 n of some number of particles as they travel through \\(X\\). When \\(X\\)
  is a graph\, the configuration space turns out to be a special cube compl
 ex\, in the sense of Haglund and Wise. I show how these cube complexes are
  constructed and use graph of groups decompositions to provide methods for
  computing braid groups of various graphs\, as well as criteria for a grap
 h braid group to split as a free product. This has various applications\, 
 such as characterising various forms of hyperbolicity in graph braid group
 s and determining when a graph braid group is isomorphic to a right-angled
  Artin group.\n
LOCATION:https://researchseminars.org/talk/GaTO/74/
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