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Commutation relation and BPZ equations In 1999, O. Schramm introduced Schramm–Loewner evolution (SLE) as a non-self-crossing random curve driven by a multiple of Brownian motion using Loewner’s transform. This definition…

Spectral asymptotics of LQG and KPZ In this talk we will discuss the spectral geometry of the Laplace-Beltrami operator associated to Liouville quantum gravity. In particular we will show that…