Martin Rubey,
Univ. Wien

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.