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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 as a tool in mathematical
research.
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