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SUMMARY:Liouville Quantum gravity on Riemann surfaces - Vargas\, V (cole N
 ormale Suprieure)
DTSTART:20150424T130000Z
DTEND:20150424T140000Z
UID:TALK59111@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:I will present the rigorous construction of Liouville quantum 
 field theory on different Riemann surfaces (sphere\, disk\, torus\, etc...
 ). These constructions\, which are based on Polyakov's path integral\, yie
 ld non trivial conformal field theories. As an output of the construction\
 , we introduce the so-called Liouville measures which we conjecture to be 
 the scaling limit of the volume form of finite maps conformally embedded i
 n the sphere. If time permits\, I will present the semi-classical approxim
 ation of these measures. Based on joint works with F. David\, Y. Huang\, H
 . Lacoin\, A. Kupiainen\, R. Rhodes.\n
LOCATION:Seminar Room 1\, Newton Institute
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