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CATEGORIES:Probability
SUMMARY: Large N asymptotics of the Yang-Mills measure - T
hierry Levy (Paris VI)
DTSTART;TZID=Europe/London:20131015T140000
DTEND;TZID=Europe/London:20131015T150000
UID:TALK47768AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/47768
DESCRIPTION:I will discuss some results and some open problems
related to the\nbehaviour of the Yang-Mills measu
re on compact surfaces as the size of\nthe structu
re group tends to infinity.\nThe Yang-Mills measur
e on a compact surface is a collection of random\n
unitary matrices indexed by the space of loops on
the surface. The\ndistribution of these random mat
rices is governed by the properties\nof the Browni
an motion on the unitary group and by the topology
of the\nsurface. As for many other matrix models\
, the Yang-Mills measure has a\nnon-trivial limit
as the order of the unitary group tends to infinit
y\,\nor at least it is strongly believed to have o
ne. On the plane\, it is\npossible to prove that t
his limit exists and to describe it in a\ncomputat
ionally fairly efficient way. Physicists make a nu
mber of\nfantastic predictions on this limit and i
f time permits I will mention\nsome of them.
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0W
B
CONTACT:
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