Bertrand Duplantier - CEA, France
Random paths, SLE and quantum gravity
Tony Guttmann has played a very great role in elucidating critical properties of self-avoiding walks, and uncovering tantalizing conjectures thereof. This talk will describe universal geometrical (multi-)fractal properties of such random paths in the plane. I use an underlying quantum gravity structure which establishes exact equivalences with Brownian paths.