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SUMMARY:A probabilistic approach to path integrals
DTSTART:20181127T171500
DTEND:20181127T181500
DTSTAMP:20260407T162314Z
UID:18671209bb39006080073ce7385496a43e429001e8a4f6d9809ae835
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Vincent Vargas (ENS\, Paris)\nPath integrals\, which wer
 e introduced by Feynman in the context of quantum mechanics\, can be seen 
 as infinite dimensional analogues of integrals with\nrespect to the standa
 rd Lebesgue measure. Roughly speaking\, they correspond to summing all tra
 jectories defined on an interval and taking values in a finite dimensional
  space. One can make sense of these integrals using the probabilistic theo
 ry of Brownian motion.\n\nIn the 2d case\, path integrals correspond to me
 asures on functions defined on a surface (instead of an interval). We will
  see that one can make sense\nof these path integrals using the theory of 
 the Gaussian Free Field. In particular\, we will explain the construction 
 of Liouville conformal field theory\, a special type of 2d path integral w
 hich appears in the context of string theory and quantum geometry.
LOCATION:CM 1 4 https://plan.epfl.ch/?room==CM%201%204
STATUS:CANCELLED
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