Advanced Studies in Pure Mathematics
- Adv. Stud. Pure Math.
- Schubert Calculus — Osaka 2012, H. Naruse, T. Ikeda, M. Masuda and T. Tanisaki, eds. (Tokyo: Mathematical Society of Japan, 2016), 295 - 335
Experimentation in the Schubert Calculus
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.
Received: 15 August 2013
Revised: 25 April 2014
First available in Project Euclid: 4 October 2018
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del Campo, Abraham Martín; Sottile, Frank. Experimentation in the Schubert Calculus. Schubert Calculus — Osaka 2012, 295--335, Mathematical Society of Japan, Tokyo, Japan, 2016. doi:10.2969/aspm/07110295. https://projecteuclid.org/euclid.aspm/1538623004