Introduction to Computational Algebraic Geometry

Course topics

  • Rings and modules, Polynomial rings in several variables over a field
  • Monomial orders and the division algorithm in several variables
  • Grobner bases and the Buchberger algorithm, Elimination and equation solving
  • Applications of Grobner bases:
    • integer programming
    • graph coloring
    • robotics
    • coding theory
    • combinatorics and more
  • The Hilbert function and the Hilbert series, Speeding up the Buchberger algorithm, The f4 and f5 algorithms

Course Information

University course catalogue:
0281
Level:
External
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