Schubert calculus and Gelfand-Zetlin polytopes
  We describe a new approach to the Schubert calculus on complete flag varieties using the volume polynomial associated with Gelfand-Zetlin polytopes. This approach allows us to compute the intersection products of Schubert cycles by intersecting faces of a polytope. 
Valentina Kiritchenko, Evgeny Smirnov and Vladlen Timorin
math.AG