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About the FK-Potts relation in the continuous CLE setup, and its connection to the Gaussian Free Field

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We will report on ongoing work with Jason Miller and Scott Sheffield, that sheds light on and connects the following items:
  • The relation between Conformal Loop Ensembles of parameter k and 16/k
  • The conjectural scaling limit of the ‘divide-and-color’ model
  • The GFF ‘light-cone’ introduced by Miller and Sheffield
  • The notion of critical percolation within a CLE carpet
  • The structure of an SLE exploration tree.

This talk is part of the Probability series.

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