The Monotone Secant Conjecture in the Real Schubert Calculus Academic Article uri icon

abstract

  • Taylor and Francis Group, LLC. 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.

published proceedings

  • Experimental Mathematics

author list (cited authors)

  • Hein, N., Hillar, C. J., del Campo, A. M., Sottile, F., & Teitler, Z.

citation count

  • 0

complete list of authors

  • Hein, Nickolas||Hillar, Christopher J||del Campo, Abraham Martín||Sottile, Frank||Teitler, Zach

publication date

  • July 2015