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SUMMARY:Ising Model and Conformal Field Theory: a rigorous connection
DTSTART:20170425T123000
DTSTAMP:20260510T165038Z
UID:3bd1156951ca868158733f280919d1840afeacfb6f057e148cea5283
CATEGORIES:Conferences - Seminars
DESCRIPTION:Clément Hongler\nThe Ising model is perhaps the most classica
 l model of equilibrium statistical mechanics. Thanks to exactly solvable s
 tructures\, it is amenable to a very precise analysis\, which has led to m
 any spectacular results over the last 70 years.\nIn the 1970s\, a connecti
 on between the critical Ising model with Quantum Field Theory was conjectu
 red by Kadanoff and others. In the 1980s this conjecture was refined into 
 a connection between the planar Ising model and the first unitary minimal 
 model of CFT\, which led to (conjectural) exact formulae for the correlati
 on functions\, including in finite geometries.\nIn the early 2000s\, mathe
 maticians introduced new tools to study conformal symmetry\, in particular
  discrete complex analysis and the Schramm's SLE random curves.\nI will di
 scuss how in the recent years we were able to prove\, using discrete compl
 ex analysis and probabilistic techniques\, that the CFT formulae indeed de
 scribe the scaling limit of the 2D Ising model on arbitrary geometries\, h
 ow the random curves of the models can be described in terms of SLE and ho
 w we are now in position to rigorously connect\, in a conceptually satisfa
 ctory manner\, the Ising model and its Conformal Field Theory.
LOCATION:BSP 727 https://plan.epfl.ch/?room==BSP%20727
STATUS:CONFIRMED
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