---------- Forwarded message --------- Da: Andreas Kyprianou ak257@bath.ac.uk Date: mer 10 giu 2020 alle ore 08:57 Subject: [owps] One World Probability Seminar Thursday 11th June 2020 To: owps@lists.bath.ac.uk

One World Probability Seminar Thursday 11th June 2020:

Tomorrow we will have a double talk on "A new point of view on topological phase transitions“. The first talk will be more introductory and accessible for a large audience.

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15.00 CEST: Christophe Garban (Lyon) 16.00 CEST: Avelio Sepúlveda (Lyon)

Abstract:

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 XY model).

Part 1 : General introduction on the topological phase transitions. Without assuming any a priori background, we will discuss how this phase transition arises in cases such as : - the XY model (spins on Z^2 with values in the unit circle) - the integer-valued Gaussian Free Field - Abelian Yang-Mills on Z^4 We will also discuss some of the main contributions of Fröhlich and Spencer to this theory.

Part 2 : A statistical reconstruction problem. We will 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. The talks will be based mostly on the preprint: https://eur01.safelinks.protection.outlook.com/?url=https%3A%2F%2Farxiv.org%...

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Please keep in mind that we are working with Central European summer time.

As always, the Zoom-room link will appear on the OWPS seminar webpage: https://eur01.safelinks.protection.outlook.com/?url=http%3A%2F%2Fwww.owproba...

But you can also link to it directly by clicking this link tomorrow: https://eur01.safelinks.protection.outlook.com/?url=https%3A%2F%2Fus02web.zo...

Meeting-ID: 876 7251 4177

Please feel free to circulate this email.

We hope to see you all tomorrow! One World Probability Team