Experimentation in the Schubert Calculus [article]

Abraham Martin del Campo, Frank Sottile
2013 arXiv   pre-print
Many aspects of Schubert calculus are easily modeled on a computer. This enables large-scale experimentation to investigate subtle and ill-understood phenomena in the Schubert calculus. A well-known web of conjectures and results in the real Schubert calculus has been inspired by this continuing experimentation. A similarly rich story concerning intrinsic structure, or Galois groups, of Schubert problems is also beginning to emerge from experimentation. This showcases new possibilities for the use of computers in mathematical research.
arXiv:1308.3284v1 fatcat:tqqsoxvmxncjfftnusrnug3tfe