In the context ofthe research seminar of the Institute of StochasticsDr Alexander Van Werde - University of Münster will give hisseminar lecture with the

Interested parties are cordially invited to attend.

Abstract:

"How much about a network can be deduced from the eigenvalues of associated matrices? Is the graph uniquely characterised by spectral information? Both positive and negative examples are known, but it remains poorly understood what happens in the typical case given by an Erdős-Rényi random graph. In this talk, I will discuss what we believe to be true as well as results that support our conjectures. Time permitting, I will also discuss how the pursuit of rigorous results leads one to studying random Abelian groups that arise as cokernels of random matrices. "