Date:

Tue, 15/12/200916:00-17:30

Lecturer:

Prof. Andrei Okounkov (Princeton)

The general outline of the problem and the argument was given in the first talk.

In the remaining talks Professor Okounkov will discuss the following topics:

- the classical Kasteleyn theory of dimers and how it applies to stepped surfaces
- why discrete holomorphic functions in polygonal domains satisfy additional difference equations
- how does the additional equation depends on the domain, this is really the theory of noncommutative shifts on the Jacobian, or discrete Painleve equations
- how to take the continuous limit in part (3)
- what does this has to do with things like mirror symmetry and other advanced topics for the next year's program