Media Summary: I describe term orders and Gröbner bases in a free module F over a polynomial ring. I state and begin to prove that if $G$ is a ... We describe the initial ideal of a lattice ideal in terms of an optimization problem in integer programming. We also describe the ... Professor Mike Stillman (Cornell University) Monday, March 17th, 2025
Lecture 8 Combinatorial Commutative Algebra - Detailed Analysis & Overview
I describe term orders and Gröbner bases in a free module F over a polynomial ring. I state and begin to prove that if $G$ is a ... We describe the initial ideal of a lattice ideal in terms of an optimization problem in integer programming. We also describe the ... Professor Mike Stillman (Cornell University) Monday, March 17th, 2025 We complete the proof of Schreyer's theorem, and begin to discuss free resolutions of modules. Computing syzygies (linear relations with polynomial coefficients) between polynomials is easy using Gröbner bases. Sara Faridi, Dalhousie University Wednesday, June 4th, 2025 ...
How can we study spaces that are locally affine varieties? This We show that a semigroup has a unique minimal set of generators. For saturated semigroups this is called the Hilbert basis. Computing the Betti numbers of a monomial ideal I is equivalent to computing the homology of the upper Koszul complexes of I.
