Quebec Mathematical Sciences Colloquium

September 12, 2008 from 16:00 to 18:00 (Montreal/Miami time) On location

The Algebra and Geometry of Random Surfaces

Colloquium presented by 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, room 6214