
Konstanze Rietsch
King's College, London
Toeplitz matrices, total positivity, and quantum cohomology.
Friday 6th, December 12:0512:55pm,
Carslaw 373.
A matrix is called totally positive if all of its minors are
positive. Total positivity for infinite by infinite Toeplitz matrices was
first studied in the 1950's by Schoenberg and collaborators, and has close
connections with Schur functions and representations of the infinite
symmetric group. The aim of this talk is to describe the set of totally
positive unitriangular Toeplitz matrices in $GL_n$ and explain a somewhat
surprising relationship with quantum cohomology rings of flag varieties
and quantum Schubert polynomials.







