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You are here: Foswiki>Math Web>WasIstSeminar>WhatIsSeminar>WhatIsListOfTalks>WhatIsGroebnerBasis (13 Oct 2009, MimiTsuruga)Edit Attach
What is ... a Gröbner basis?
This page hosts information on René Birkner's talk "What is ... a Gröbner basis?" at the "What is ...?" seminar. The talk will take place on Friday, October 16, 4pm at FU Arnimallee 6, SR 031.Abstract
For ideals
of some algebra ![$k[x_1,...,x_n]$](/wiki/pub/Math/WhatIsGroebnerBasis/latex2f84217fd89f27b2bdc92663c556c44c.png)
a set of generators is in general not unique. When considering the technique of term orders and initial ideals one can compute a subset of the ideal, the so-called Gröbner Basis, with respect to this term order. A reduced form of this Gröbner Basis is in fact unique for a given term order and a generates the ideal. These Gröbner Bases have proven to be useful for many applications from solving polynomial equations to moduli spaces.
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Topic revision: r3 - 13 Oct 2009, MimiTsuruga
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