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SUMMARY:Graphs with lots of symmetry - a local perspective - Luke Morgan (
 Univerza na Primorskem)
DTSTART:20200211T160000Z
DTEND:20200211T170000Z
UID:TALK139429@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:In this talk we will focus on groups acting on graphs with a g
 ood amount of symmetry\, such as vertex transitivity. Several conjectures 
 have connected global and local properties of the graphs in this class. In
  particular\, &ldquo\;global" can refer to the number of automorphisms of 
 a graph\, and local then refers to certain conditions placed on the local 
 action\, that is\, the action induced by a vertex-stabiliser on the neighb
 ours of the vertex it fixes. A conjecture of Weiss from 1978 asserts that 
 under mild conditions on this local action the number of automorphisms of 
 a connected vertex-transitive graph should be bounded by a function of the
  valency. This conjecture is still very much open. I will report on recent
  progress on an expanded version of the conjecture which uses tools from g
 roup theory developed for the classification of the finite simple groups. 
  <br><br><br><br><br>
LOCATION:Seminar Room 2\, Newton Institute
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