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SUMMARY:Christophe Garban (Université Lyon 1)
DTSTART:20200504T113000Z
DTEND:20200504T123000Z
DTSTAMP:20260423T005839Z
UID:HSPETDS/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HSPETDS/4/">
 Kosterlitz-Thouless transition and statistical reconstruction of the Gauss
 ian free field</a>\nby Christophe Garban (Université Lyon 1) as part of H
 orowitz seminar on probability\, ergodic theory and dynamical systems\n\nL
 ecture held in 309.\n\nAbstract\nThe Berezinskii-Kosterlitz-Thouless trans
 ition (BKT transition) is a phase transition which occurs in dimension two
  for spin systems such as the plane rotator model (or XY model). This phas
 e transition was discovered by these three physicists as the first example
  of a topological phase transition and was rigorously understood by Fröhl
 ich and Spencer in the 80's. I will spend the main part of my talk explain
 ing what are these topological phase transitions. I will then survey the c
 ontributions of Fröhlich and Spencer to this theory and I will end with n
 ew results we obtained recently with Avelio Sepúlveda in this direction.\
 nThe talk will be based mostly on the preprint: https://arxiv.org/abs/2002
 .12284\n
LOCATION:https://researchseminars.org/talk/HSPETDS/4/
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