Rational functions and real Schubert calculus
  We single out some problems of Schubert calculus of subspaces of codimension 2 that have the property that all their solutions are real provided that the data are real. Our arguments explore the connection between subspaces of codimension 2 and rational functions of one variable. 
A. Eremenko, A. Gabrielov, M. Shapiro and A. Vainshtein