Proof of the DOZZ Conjecture

Fractal Geometry and Dynamics

10 October 15:00 - 15:50

Antti Kupiainen - University of Helsinki

In 1994 Dorn and Otto and in 1996 independently Zamolodchikov and Zamolodchikov proposed a remarkable explicit expression, the so called DOZZ formula for the 3 point structure constants of the Liouville Conformal Field Theory (LCFT) which is expected to describe the scaling limit of large planar maps properly embedded in the sphere. I will review a rigorous probabilistic construction of LCFT and sketch a proof of the DOZZ formula obtained together with R. Rhodes and V. Vargas.
Kenneth Falconer
University of St Andrews
Maarit Järvenpää
University of Oulu
Antti Kupiainen
University of Helsinki
Francois Ledrappier
University of Notre Dame
Pertti Mattila
University of Helsinki


Maarit Järvenpää


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