Contact Info
Pure MathematicsUniversity of Waterloo
200 University Avenue West
Waterloo, Ontario, Canada
N2L 3G1
Departmental office: MC 5304
Phone: 519 888 4567 x43484
Fax: 519 725 0160
Email: puremath@uwaterloo.ca
Wednesday, July 24, 2019 — 4:30 PM EDT
Soffia Arnadottir, C&O Department, University of Waterloo
"Graphs in algebra and algebra in graphs"
PHow do algebraic properties of a graph relate to its graph theoretic properties? What are algebraic properties of graphs? What does the spectrum of a graph tell us about its structure? What is a Cayley graph?
In this talk I will discuss at least a non-empty subset of these questions and give some partial answers to them. Terms like 'bipartite', 'strongly regular' and 'vertex transitive' might be thrown around, and there is even a possibility we learn something about the eigenvectors of Cayley graphs of abelian groups (spoiler: they are the characters of the group).