Colorings, Polynomials and Roots

Wednesday, November 15, 2017 - 1:00pm to 2:00pm
Location: 
WXLR A546

Speaker

Jason Brown
Professor
Department of Mathematics and Statistics
Dalhousie University

Abstract

Along the path to the proof of the Four Color Theorem, the related enumeration function to count the number of k-colourings was proposed, leading to a fascinating branch of graph theory, namely chromatic polynomials. While polynomials are the simplest of functions, their properties and especially their roots, can take you deep within mathematics. In this talk I will describe some recent result on chromatic polynomials, connecting to commutative algebra as well as to real and complex analysis. And on our trip, we visit with some old friends, including Charles Hermite, Jacques Sturm, and Carl Gauss.

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