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SUMMARY:Christophe Garban (Université Lyon 1)
DTSTART:20200720T160000Z
DTEND:20200720T170000Z
DTSTAMP:20260423T024728Z
UID:QM3/12
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QM3/12/">A n
 ew point of view on topological phase transitions</a>\nby Christophe Garba
 n (Université Lyon 1) as part of Quantum Matter meets Maths (IST\, Lisbon
 )\n\n\nAbstract\nTopological phase transitions were discovered by Berezins
 kii-Kosterlitz-Thouless in the 70's. They describe intriguing phase transi
 tions for classical spins systems such as the plane rotator model (or $XY$
  model). I will start by reviewing how this phase transition arises in cas
 es such as:\n\nthe $XY$ model (spins on $\\mathbb{Z}^2$ with values in the
  unit circle)\nthe integer-valued Gaussian Free Field (or $\\mathbb{Z}$-fe
 rromagnet)\nAbelian Yang-Mills on $\\mathbb{Z}^4$\nI will then connect top
 ological phase transitions to a statistical reconstruction problem concern
 ing the Gaussian Free Field and will show that the feasibility of the reco
 nstruction undergoes a KT transition.\n\nThis is a joint work with Avelio 
 Sepúlveda (Lyon) and the talk will be based mostly on the preprint: https
 ://arxiv.org/abs/2002.12284\n
LOCATION:https://researchseminars.org/talk/QM3/12/
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