Towards conformal invariance of 2D lattice models

• Autores: Stanislav Smirnov
• Localización: Proceedings oh the International Congress of Mathematicians: Madrid, August 22-30,2006 : invited lectures / coord. por Marta Sanz Solé, Javier Soria de Diego, Juan Luis Varona Malumbres, Joan Verdera, Vol. 2, 2006, ISBN 978-3-03719-022-7, págs. 1421-1452
• Idioma: inglés
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• Resumen

  • 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.