Abstract:

We will give an overview of some recent developments and ideas that have to do with the understanding of random planar structures defined directly in the continuum — focusing in particular on the role of complex analysis and conformal invariance. We will mention ideas and results of Schramm, Sheffield etc. but will not go into the details of the proofs…

No particular prior knowledge in probability theory is needed.

Plan:

Wednesday, January 2, 2013

10h- 12h Course 1: Introduction, motivation, overview.

14h – 16h: Course 2: The Schramm Loewner Evolution

Friday, January 4, 2013

10h – 12h: Course 3: The Conformal Loop Ensembles

14h – 16h: Course 4: The Gaussian Free Field and its geometry

Location: VIASM, Lecture Hall C02