Analysis seminar: Nam-Gyu Kang

Speaker: Nam-Gyu Kang, Seoul National University,  Republic of Korea.

Title: Gaussian Free Field, Conformal Field Theory, and Schramm–Loewner Evolution

Abstract: I will present an elementary introduction to conformal field theory in the context of complex analysis and probability theory. Introducing Ward functional as an insertion operator under which the correlation functions are transformed into their Lie derivatives, I will explain several formulas in conformal field theory including Ward's equations. This presentation will also include relations between conformal field theory and Schramm–Loewner evolutions in various conformal types. Some recent work in the case of multiple SLE curves and their classical limits will be discussed. This is joint work with Nikolai Makarov, Hee-Joon Tak, Dapeng Zhan, and Tom Alberts.