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Combinatorics Seminar: Electrical networks and hyperplane arrangements November 19, 2018 (12:10 PM PST - 01:00 PM PST)
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Location: UC Berkeley Math (Evans Hall 939)
Speaker(s) Bob Lutz (University of Michigan)
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This talk defines Dirichlet arrangements, a generalization of graphic hyperplane arrangements arising from electrical networks and order polytopes of finite posets. After establishing some basic properties we characterize Dirichlet arrangements whose Orlik-Solomon algebras are Koszul and show that the underlying matroids satisfy the half-plane property. We also discuss the role of Dirichlet arrangements and harmonic functions on electrical networks in problems coming from mathematical physics.

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