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in memory of

Prof. Alexander Zabrodsky

**
Noncommutative geometry in applied math**

Prof. *Andrei Okounkov* (Princeton)

Thursday, Dec. 10th, 2009 at 4:00 pm in Mathematics Building , Lecture Hall 2

A gathering in memory of Prof. Alexander Zabrodsky will precede the lecture at 15:30.

Abstract:I will explain how some basic algebraic ideas help us study linear difference equations of probabilistic interest.

Alexander Zabrodsky / The Mathematics Genealogy Project

The continuation of the Zabrodsky lecture of A.Okounkov will be on Monday and Tuesday [rm 209].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

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