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SUMMARY:Statistical Field Theory and the Ising Model
DTSTART:20180125T150000
DTEND:20180125T170000
DTSTAMP:20260508T103652Z
UID:09b1a39516d665ff357a6e2d0e51005184082ab61258ad77815daf83
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Clément Hongler\nThe developments of statistical mechan
 ics and of quantum field theory are among the major achievements of 20th c
 entury's science. In the second half of the century\, these two subjects s
 tarted to converge\, resulting in some of the most remarkable successes of
  mathematical physics. At the heart of this convergence lies the conjectur
 e that critical lattice models are connected\, in the continuous limit\, t
 o conformally symmetric field theories. This conjecture has led to much in
 sight into the nature of phase transitions and to beautiful formulae descr
 ibing lattice models\, which have remained unproven for decades.\nIn this 
 talk\, I will focus on the planar Ising model\, perhaps the most studied l
 attice model\, whose investigation has initiated much of the research in s
 tatistical mechanics. I will explain how\, in the last ten years\, we have
  developed tools to understand mathematically the emerging conformal symme
 try of the model\, and the connections with quantum field theory. This has
  led one to the proof of celebrated conjectures for the Ising correlations
  and for the description of the emerging random geometry. I will then expl
 ain how these tools have then yielded a rigorous formulation of the field 
 theory describing this model\, allowing one to make mathematical sense of 
 the seminal ideas at the root of the subject of conformal field theory.
LOCATION:CM 1 4 https://plan.epfl.ch/?room==CM%201%204
STATUS:CONFIRMED
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