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%2Fabs%2F2002.12284&data=02%7C01%7Cak257%40bath.ac.uk%7C8bbdc10168f24d71641d08d80d084a79%7C377e3d224ea1422db0ad8fcc89406b9e%7C0%7C0%7C637273676557993130&sdata=lqwRZ%2F3Ftsk7qCuBFS2Q%2Fo%2BrtYPQ8PAcl1hkJHlsyRI%3D&reserved=0

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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.owprobability.org%2F&data=02%7C01%7Cak257%40bath.ac.uk%7C8bbdc10168f24d71641d08d80d084a79%7C377e3d224ea1422db0ad8fcc89406b9e%7C0%7C0%7C637273676557993130&sdata=cQoalwuosoYGZOS9ZkvxpRk8q2zYBbzFsqkQTzg%2BPVs%3D&reserved=0

But you can also link to it directly by clicking this link tomorrow:
https://eur01.safelinks.protection.outlook.com/?url=https%3A%2F%2Fus02web.zoom.us%2Fj%2F87672514177&data=02%7C01%7Cak257%40bath.ac.uk%7C8bbdc10168f24d71641d08d80d084a79%7C377e3d224ea1422db0ad8fcc89406b9e%7C0%7C0%7C637273676557993130&sdata=pW0Q6TVCvlDFeoh3w5SL47IqBFpq9LpuWw07qA3PI3I%3D&reserved=0

Meeting-ID: 876 7251 4177

Please feel free to circulate this email.

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