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Abstract

Speaker: Joseph Kung, University of North Texas

Title: Identities for characteristic polynomials of matroids and hyperplane arrangements

Abstract:

This is a survey talk on identities amongst characteristic polynomials of matroids and hyperplanes. We will discuss multiplicative or Hopf algebra identities, factorization identities, and deletion-contraction identities. We will use the critical problem interpretation extensively and give elementary geometric counting proofs. The talk is intended to be accessible.



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