Journée-séminaire de combinatoire

(équipe CALIN du LIPN, université Paris-Nord, Villetaneuse)

Le 20 mai 2014 à 14h00 en B107, Raoul Santachiara nous parlera de : Conformal field theory approach: combinatorial aspects and applications in critical geometry

Résumé : A two-dimensional system enjoys conformal symmetry when the invariance under rescaling and rotations is enhanced to invariance under any conformal (i.e. analytic and invertible) mapping. The conformal field theory (CFT) approach aims to find the solutions of the infinite set of equations imposed by conformal invariance. This approach has been successfully employed in diverse areas of physics and mathematics for almost thirty years. We will survey the basics ideas behind the CFT approach. We will adress some recent results concerning the representation of Virasoro algebras and its relations with Benjamin-Ono and Calogero-Moser integrable models. We finally show new results on conformally invariant random fractals.

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