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SUMMARY: Large N asymptotics of the Yang-Mills measure - Thierry Levy (Par
 is VI)
DTSTART:20131015T130000Z
DTEND:20131015T140000Z
UID:TALK47768@talks.cam.ac.uk
CONTACT:24873
DESCRIPTION:I will discuss some results and some open problems related to 
 the\nbehaviour of the Yang-Mills measure on compact surfaces as the size o
 f\nthe structure group tends to infinity.\nThe Yang-Mills measure on a com
 pact surface is a collection of random\nunitary matrices indexed by the sp
 ace of loops on the surface. The\ndistribution of these random matrices is
  governed by the properties\nof the Brownian motion on the unitary group a
 nd 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 gr
 oup tends to infinity\,\nor at least it is strongly believed to have one. 
 On the plane\, it is\npossible to prove that this limit exists and to desc
 ribe it in a\ncomputationally fairly efficient way. Physicists make a numb
 er of\nfantastic predictions on this limit and if time permits I will ment
 ion\nsome of them.
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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