Support properties of spectra of polynomials in Wigner matrices

Monday, June 18, 2012 - 9:00am - 10:30am
Lind 305
Greg Anderson (University of Minnesota, Twin Cities)
The goals for the series of talks are as follows.

1. To fill in background for and to state the result of Haagerup, Schultz

and Thorbjornsen for polynomials in GUE matrices.

2. To prove the result taking care to explain the most important tricks,

e.g, the linearization trick.

3. To discuss extensions and related results in the literature.

4. To prove some extensions of HST to polynomials in Wigner matrices

(not the best or sharpest possible) using methods worth learning about in

their own right.

5. To point out some open problems in the area.
MSC Code: