Antti Kupiainen: Proof of the DOZZ Conjecture
Time: Tue 2017-10-10 15.00 - 15.50
Lecturer: Antti Kupiainen, University of Helsinki
Location: Institut Mittag-Leffler, Auravägen 17, Djursholm
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.