Path:  Home   >  Totally nonnegative unitriangular Toeplitz matrices and k-Schur functions
 
Totally nonnegative unitriangular Toeplitz matrices and k-Schur functions
 
 
Description: 

The talk will focus on effective parametrisations of unitriangular Toeplitz matrices. We will first recall Thoma's parametrisation for the infinite matrices. Next, for matrices of rank k, we will see how one can recover Rietsch's parametrisation by k-tuple of nonnegative reals from the combinatorics of k-Schur functions. This approach permits to avoid delicate geometric arguments related to quantum cohomology of flag varieties and makes the parametrization completely explicit: the Toeplitz matrix corresponding to a k-tuple of nonnegative reals is given by the Perron-Frobenius vector of a natural irreducible matrix.

This is a joint work with Pierre Tarrago (Cimat Mexico).

Date:  2018-06-21
Start Time:   15:00
Speaker:  Cédric Lecouvey (Univ. François Rabelais, Tours, France)
Institution:  Université François Rabelais
Place:  Room 5.5, Department of Mathematics, U.C.
Research Groups: -Algebra and Combinatorics
See more:   <Main>  
 
     
© 2012 Centre for Mathematics, University of Coimbra, funded by

Science and Technology Foundation

Powered by: rdOnWeb v1.4 | technical support