Experimentation and conjectures in the real Schubert calculus for flag manifolds (extended abstract) Institutional Repository Document uri icon

abstract

  • The Shapiro conjecture in the real Schubert calculus fails to hold for flag manifolds, but in a very interesting way. In this extended abstract, we give a refinement of that conjecture for the flag manifold and present massive experimentation (over 12 GigaHertz-Years) that supports our refined conjecture. We also establish relationships between different cases of the conjecture and describe some new phenomena uncovered in this experimentation.

author list (cited authors)

  • Ruffo, J., Sivan, Y., Soprunova, E., & Sottile, F.

citation count

  • 0

complete list of authors

  • Ruffo, James||Sivan, Yuval||Soprunova, Evgenia||Sottile, Frank

Book Title

  • arXiv

publication date

  • February 2005