Speaker : Nam-Gyu Kang (California Institute of Technology)
Date : 2008. 9. 5(FRI) 15:00-16:00
Place : E6-1 #1409
Title: Coulomb gas formalism and SLE
Abstract: I present an elementary introduction to conformal field theory
in the context of probability theory and potential theory. I also describe
relations between various fields in the conformal field theory and SLE
martingale-observables in terms of formal projections (through the
conditional expectations with respect to SLE filtration). I present results on analytic properties of some of these martingale-observables. I derive several operator product expansions involving the stress-energy tensor in SLE. This is joint work with Nikolai Makarov.