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Tony Dorlas (DIAS)

Title: Pirogov-Sinai Theory

Abstract: Pirogov-Sinai theory is a generalisation of the Peierls argument to classical spin models with non-symmetric interaction. I will first recall the Peierls argument and then consider the inhomogeneous Potts model with nearest-neighbour interaction. Pirogov-Sinai theory proves that for low temperatures the phase diagram is a perturbation of the ground-state diagram. This is a complete description of the translation-invariant states. The proof is complicated and I can only give a very crude description of it.

Talk – Video

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