Crossings
Martin Rubey,
Univ. Wien
Abstract:
Upon showing my daughter some
pictures of my work, she found crossing
arcs more beautiful than
nesting arcs. From a certain combinatorial
point of view,
crossings and nestings are indeed sisters. In this talk
I
will present some results on their relationship and
indicate
connections to orthogonal polynomials, the representation
theory of Lie
algebras, and Schubert polynomials.