## Blyth 2006

### Department of Mathematics

University of Toronto

### Twelfth Annual R.A. Blyth Lectures in Mathematics

### Professor Andrei Okounkov

### Princeton University

### Will give three lectures on Limit Shapes, Real and Imagined

We are surrounded by limit shapes --- macroscopic forms produced from microscopic particles by microscopic laws. One can learn about shape formation phenomena from very simple random surface models which can be analyzed exactly. Surprisingly, the same random surface models appear in other areas of mathematics and physics, such as gauge theory and enumerative algebraic geometry.

**Lecture 1: Random Surfaces Around Us**

Wednesday, March 29, 2006, 4:10 p.m.

Bahen Centre for Information Technology, 40 St. George St.

Room 1130

**Lecture 2: Instantons, and How Random Surfaces Count Them**

Thursday, March 30, 2006, 4:10 p.m.

Bahen Centre for Information Technology, 40 St. George St.

Room 1170

**Lecture 3: Toward Probabilistic Mirror Symmetry**

Friday, March 31, 2006, 4:10 p.m.

Bahen Centre for Information Technology, 40 St. George St.

Room 1170

The Blyth Lecture Reception will follow the First Lecture on Wednesday 29, 2006, at the Faculty Club, 41 Wilcocks Street. All are invited to attend.