Title of talk: The Stochastic Schramm-Loewner Evolution SLE

Steffen Rohde

Abstract: A few years ago, Oded Schramm found a beautiful
connection between the Loewner differential equation from
classical geometric function theory on the one hand,
and various "random planar sets" (such as traces of random
walks, or percolation clusters) from probability and
mathematical physics on the other hand.

This discovery of the stochastic Schramm-Loewner evolution
initiated exciting research by analysts, probabilists
and mathematical physicists and led to solutions of various
well-known problems (Mandelbrot's conjecture, Existence of the
scaling limit of critical percolation clusters).

In my talk, I will explain SLE, some of its properties,
and some of its applications.