Speaker
Aram Dermenjian
(Universidad de Sevilla)
Description
This talk assumes no prior knowledge for any of the terms mentioned in this abstract. Coxeter matroids are an interesting generalization of matroids through the use of root systems. Borovik, Gelfand and White give a description of a strong exchange property for Coxeter matroids and give an example of a Coxeter matroid which does not satisfy the strong exchange property. In this talk we describe precisely when Coxeter matroids satisfy the strong exchange property using representation theory, tropical geometry and polytope theory.
Author
Aram Dermenjian
(Universidad de Sevilla)