Colloque des sciences mathématiques du Québec

12 septembre 2008 de 16 h 00 à 18 h 00 (heure de Montréal/HNE) Sur place

The Algebra and Geometry of Random Surfaces

Colloque par Andrei Okounkov (Princeton University)

These lectures will be about one of the simplest models of random surfaces, the so-called stepped surfaces, that arise as the zero-temperature interfaces in the 3D Ising model and, also, for example, as the height function representations of hexagonal dimers. A typical question about such surfaces is to describe the behavior of a random surface spanning given boundary and the mesh size of the surfaces goes to zero. Our interest will be in both the global, macroscopic shapes that these surfaces develop, as well as in their local, microscopic properties. These are interlinked in a remarkable fashion that seem to require a certain input from several distant fields, from analysis to noncommutative algebraic geometry.


UdeM, Pav. André-Aisenstadt, 2920, ch. de la Tour, salle 6214