Affiliation: Technical University of Denmark

**Title: Strongly cospectral vertices, Cayley graphs and other things**

**Abstract**: In this talk we will look at a connection between the number of pairwise strongly cospectral vertices in a translation graph (a Cayley graph of an abelian group) and the multiplicities of its eigenvalues. We will use this connection to give an upper bound on the number of pairwise strongly cospectral vertices in cubelike graphs.

You can watch the talk here, and the slides are available here.

*This talk was given on November 7th, 2022*

Affiliation: University of Waterloo, Ontario

**Title: Strongly cospectral vertices, Cayley graphs and other things**

**Abstract**: In this talk we will look at a connection between the number of pairwise strongly cospectral vertices in a translation graph (a Cayley graph of an abelian group) and the multiplicities of its eigenvalues. We will use this connection to give an upper bound on the number of pairwise strongly cospectral vertices in cubelike graphs.

You can watch the talk here and the slides are available here.

*This talk was given on September 28th, 2020*