Thomas Lam : Total positivity, Toeplitz matrices, and loop groups
A real matrix is totally nonnegative if every minor in it is nonnegative. The classical Edrei-Thoma theorem classifies totally nonnegative infinite Toeplitz matrices, and is related to problems in representation theory, combinatorics and probability. I will discuss progress towards two variations on this theorem to block-Toeplitz matrices, and to finite Toeplitz matrices. Both of these variations connect the classical theory to loop groups.
- Category: Presentations
- Duration: 01:34:48
- Date: January 28, 2009 at 4:25 PM
- Tags: seminar, Department of Mathematics Seminar