Department of Mathematics Seminar
Wednesday, January 28, 2009, 4:30pm, 119 Physics
Thomas Lam (Harvard University)
Total positivity, Toeplitz matrices, and loop groups
Abstract:- 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. [video]
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