Frontiers of Reality in Schubert Calculus
 
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The Secant Conjecture in the real Schubert calculus, Luis García-Puente, Nickolas Hein, Chris Hillar, Abraham Martín del Campo-Sanchez, James Ruffo, Frank Sottile, and Zach Teitler. paper.

Experimentation at the Frontiers of Reality in Schubert Calculus, Chris Hillar, Luis García-Puente, Abraham Martín del Campo-Sanchez, James Ruffo, Zach Teitler, Stephen L. Johnson, and Frank Sottile. Contemporary Mathmematics, 317, Amer. Math. Soc., Providence, RI, 2010, pp. 365-380. paper.

Frontiers of Reality in Schubert Calculus, Frank Sottile, Bulletin of the AMS, 47, No 1. (2010), 31-71. paper.

Experimentation and conjectures in the real Schubert calculus for flag manifolds, James Ruffo, Yuval Sivan, Evgenia Soprunova, and Frank Sottile, Experimental Mathematics, 15, No. 2 (2006), 199--221. paper.

Real Schubert Calculus: Polynomial systems and a conjecture of Shapiro and Shapiro, Frank Sottile, Experimental Mathematics, 9, Number 2, (2000), pp. 161-182. paper.

DMS-1001615 DMS-0922866 DMS-0915211 DMS-0701050
DMS-0538734 DMS-0134860 DMS-0079536 DMS-0070494