I will discuss the dictionary between the algebraic structure of a right-angled Artin group and the combinatorics of the defining graph. I will then use the cohomology of a right-angled Artin group to provide a characterization of Hamiltonicity of the underlying graph. Along the way, I will describe some linear algebraic facts which appear to have been previously unknown.
This talk represents joint with R. Flores and D. Kahrobaei.
This video is part of the New York Group Theory Cooperative‘s group theory seminar series.
