@article{2006,
  abstract     = {The monotone secant conjecture posits a rich class of polynomial systems, all of whose solutions are real. These systems come from the Schubert calculus on flag manifolds, and the monotone secant conjecture is a compelling generalization of the Shapiro conjecture for Grassmannians (Theorem of Mukhin, Tarasov, and Varchenko). We present some theoretical evidence for this conjecture, as well as computational evidence obtained by 1.9 teraHertz-years of computing, and we discuss some of the phenomena we observed in our data. },
  author       = {Hein, Nicolas and Hillar, Christopher and Martin Del Campo Sanchez, Abraham and Sottile, Frank and Teitler, Zach},
  journal      = {Experimental Mathematics},
  number       = {3},
  pages        = {261 -- 269},
  publisher    = {Taylor & Francis},
  title        = {{The monotone secant conjecture in the real Schubert calculus}},
  doi          = {10.1080/10586458.2014.980044},
  volume       = {24},
  year         = {2015},
}