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• W2772524654 abstract "The purpose of these notes, based on a series of 4 lectures given by the author at IHES, is to explain the recent proof of the DOZZ formula for the three point correlation functions of Liouville conformal field theory (LCFT). We first review the probabilistic construction of the $N$ point correlation functions of LCFT on the Riemann sphere for $N geq 3$ (based on a series of works of the author with David, Kupiainen and Rhodes). We then explain the construction of the two point correlation functions of LCFT, also called reflection coefficient. These probabilistic constructions will be justified from the point of view of Polyakov's path integral formulation of LCFT. Finally, we explain the proof of the DOZZ formula for the three point correlation functions of LCFT (based on 2 papers by the author with Kupiainen and Rhodes)." @default.
• W2772524654 created "2017-12-22" @default.
• W2772524654 creator A5049107001 @default.
• W2772524654 date "2017-12-03" @default.
• W2772524654 modified "2023-09-27" @default.
• W2772524654 title "Lecture notes on Liouville theory and the DOZZ formula" @default.
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