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VOL. 71 | 2016 Experimentation in the Schubert Calculus
Abraham Martín del Campo, Frank Sottile

Editor(s) Hiroshi Naruse, Takeshi Ikeda, Mikiya Masuda, Toshiyuki Tanisaki

Abstract

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.

Information

Published: 1 January 2016
First available in Project Euclid: 4 October 2018

zbMATH: 1378.14056
MathSciNet: MR3644828

Digital Object Identifier: 10.2969/aspm/07110295

Subjects:
Primary: 14N15 , 14P99

Keywords: enumerative geometry , Galois groups , Schubert calculus , Shapiro conjecture

Rights: Copyright © 2016 Mathematical Society of Japan

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