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Seminários do IMPA

Probabilidade e Combinatória

Reflection coefficient in Liouville theory and tails of Gaussian multiplicative chaos

Université Paris-Est Marne La Vallée
Quarta-feira, 10 de janeiro de 2018, 15:30
Sala 347

In  this talk, I will discuss the construction of correlation functions in Liouville conformal field theory (LCFT) with  a special emphasis on
the two point correlation function, also known as reflection coefficient. The reflection coefficient also appears as the partition function of the quantum sphere introduced by Duplantier-Miller-Sheffield. Based on the recent proof of the DOZZ formula (joint work with A.Kupiainen and V. Vargas) I will present an integrability formula for the reflection coefficient. As an application, we are able to derive   exact asymptotic expansions for the tails of Gaussian multiplicative chaos. These results seem to be new, even from the physics perspective.