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Schramm-Loewner evolutions on Riemann surfaces


Speaker: Julien Dubedat, Courant Institute, NYU
Location: 1147 MSB
Start time: Wed, Jan 24 2007, 4:10PM

Introduced by Oded Schramm in 1999, Schramm-Loewner Evolutions (SLE) are random simple paths connecting two boundary points of a planar, simply connected domain. SLE has proved an efficient way to describe the scaling limit of critical 2d systems such as percolation. Defining SLEs corresponding to more complicated configurations, such as simply connected domains with several marked points or open Riemann surfaces, involves several difficulties. We will discuss "interactions" of several SLE strands and some constructions of SLE on open Riemann surfaces, in relation with zeta-regularization and Virasoro algebra representations.