BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Computing with finitely presented representations of a category Wiltshire-Gordon, John


In the same way that a matrix of homogeneous polynomials gives rise to a graded module, a matrix over a category gives rise to a "graded module" where the objects of the category provide the degrees, and the arrows provide the monomials (appearing in linear combinations as entries in the matrix). When the category is combinatorial in nature, such a matrix may be entered into a computer. Using examples from combinatorics, geometry, and topology, I will demonstrate a computer program that takes a matrix over the category of finite sets and returns its Hilbert series.

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