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CECM Home > Events > CECM Annual Summer Meeting 2005 > Program > Abstract: Jason Bell

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Rational functions, Hilbert series, and forbidden subwords

Jason Bell · Simon Fraser University

We give an overview of the theory of commutative and noncommutative Grobner bases, giving some unexpected applications along the way. We also discuss the connections between Grobner bases, counting words on an alphabet with certain forbidden subwords, and the computation of the Hilbert series of an algebra. We end with some applications of these ideas.