– Europe/Lisbon
Online

Christophe Garban, Université Lyon 1
A new point of view on topological phase transitions
Topological phase transitions were discovered by Berezinskii-Kosterlitz-Thouless in the 70's. They describe intriguing phase transitions for classical spins systems such as the plane rotator model (or
- the
model (spins on with values in the unit circle) - the integer-valued Gaussian Free Field (or
-ferromagnet) - Abelian Yang-Mills on
I will then connect topological phase transitions to a statistical reconstruction problem concerning the Gaussian Free Field and will show that the feasibility of the reconstruction undergoes a KT transition.
This is a joint work with Avelio Sepúlveda (Lyon) and the talk will be based mostly on the preprint: https://arxiv.org/abs/2002.12284
Projecto FCT UIDB/04459/2020.