On multiple SLE type scaling limits

Jeudi 21 novembre 2019 15:45-16:45 - Alex Karrila - IHES

Résumé : Schramm-Loewner evolution (SLE) type curves are conformally invariant random curves, known or conjectured to describe the scaling limits of random interfaces in many critical planar lattice models. A particularly interesting variant are multiple SLE curve collections, which explicitly connect SLEs to Conformal field theory, the physics description of such scaling limits. We recall these notions, sketch proofs realizing multiple SLEs in scaling limits of lattice models, and discuss their further consequences. The talk is mainly based on [arXiv:1903.10354] and [arXiv:1810.05608].

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