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Presented By: Learning Seminar in Algebraic Combinatorics - Department of Mathematics

Learning Seminar in Algebraic Combinatorics: The volume polynomial

Andrew Sack

Abstract: In this talk we introduce the volume polynomial of a Poincare duality algebra and discuss what it has to do with volume. We will introduce mixed volumes of polytopes and the Alexandrov–Fenchel inequality and discuss some classical combinatorial applications of this inequality. These applications directly motivated much of the material that we've covered this semester.

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