Seminar Event Detail


Combinatorics

Date:  Friday, March 15, 2013
Location:  3866 East Hall (4:10 PM to 5:00 PM)

Title:  Factoring the characteristic polynomial of a poset

Abstract:   Given a poset P, its characteristic polynomial x(P;t) is the generating function in the variable t for the Moebius function of P. For many families of posets, every root of x(P;t) is in the set P of positive integers. A number of different techniques have been devised for showing that x(P;t) factors over P including Zaslavsky's theory of signed graphs, results by Saito and Terao about free hyperplane arrangements, and Stanley's Supersolvability Theorem. We will present a new, totally combinatorial method for proving factorization. This is joint work with Joshua Hallam.

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Speaker:  Bruce Sagan
Institution:  Michigan State University

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