## Heights of polynomials and random matrix theory

- Date: 11/02/2006

Lecturer(s):

Christopher Sinclair (University of Colorado at Boulder)

Location:

University of British Columbia

Topic:

We will discuss a method for producing asymptotic estimates for the

number of integer polynomials of degree N with bounded (but large)

Mahler's measure. This method also produces a closed form for averages

of class functions over ensembles of asymmetric random matrices. In

this talk I will explain why this is important, and its potential for

resolving some open problems surrounding certain ensembles of random

matrices.

Other Information:

SFU/UBC Number Theory Seminar 2006