## Columbia Mathematics Department Colloquium

*"Noncommutative geometry of
random surfaces"*

### by

### Andrei Okounkov

### Columbia and Princeton

Abstract:

I will talk about a particular and very simple random surface model, the
so-called

stepped surfaces. Their macroscopic
shape is dictated by the law of large numbers

that makes a very large random
surface to have a nonrandom shape in first

approximation. This nonrandom shape is found from a variational problem and

turns out to be an algebraic curve
in disguise. The finer, random
details of

the random surface may be
determined from a certain quantization of this algebraic

curve. This quantized, noncommutative curve will be the main character in my talk.

.

**October 29th,
Wednesday, 5:00-6:00 pm**

**Mathematics 520**

**Tea will be served at 4:30pm**