09 Mär 2012
10:30  - 12:00

Seminar Algebra and Geometry: Thomas Kahle (ETH Zürich)

How primary decomposition of monoid congruences and binomial ideals is wrong

In a polynomial ring, a binomial says that two monomials are scalar multiples of each other.  Forgetting about the scalars, a binomial ideal describes an equivalence relation on the monoid of exponents. 

Ideally one would want to carry out algebraic computations, such as primary decomposition of binomial ideals, entirely in this combinatorial language.  We will present such a calculus, enabling one to compute by looking at pictures of monoids.


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