Towards conformal invariance of 2D lattice models

  • Stanislav Smirnov

    Université de Genève, Switzerland
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Abstract

Many 2D lattice models of physical phenomena are conjectured to have conformally invariant scaling limits: percolation, Ising model, self-avoiding polymers, etc. This has led to numerous exact (but non-rigorous) predictions of their scaling exponents and dimensions. We will discuss how to prove the conformal invariance conjectures, especially in relation to Schramm–Loewner evolution.