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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Graphs with lots of symmetry - a local perspective
- Luke Morgan (Univerza na Primorskem)
DTSTART;TZID=Europe/London:20200211T160000
DTEND;TZID=Europe/London:20200211T170000
UID:TALK139429AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/139429
DESCRIPTION:In this talk we will focus on groups acting on gra
phs with a good amount of symmetry\, such as verte
x 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 lo
cal then refers to certain conditions placed on th
e local action\, that is\, the action induced by a
vertex-stabiliser on the neighbours of the vertex
it fixes. A conjecture of Weiss from 1978 asserts
that under mild conditions on this local action t
he number of automorphisms of a connected vertex-t
ransitive graph should be bounded by a function of
the valency. This conjecture is still very much o
pen. I will report on recent progress on an expand
ed version of the conjecture which uses tools from
group theory developed for the classification of
the finite simple groups.

LOCATION:Seminar Room 2\, Newton Institute
CONTACT:INI IT
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