An analytic perspective on graph limits

“Doc in Progress” is pleased to introduce you to:

• Giulio Zucal - PhD in Mathematics - MPI MiS Leipzig

The theory of graph limits considers the convergence of sequences of graphs with a diverging number of vertices. From an applied perspective, it aims to represent very large networks conveniently. In this talk, I will give a brief introduction and
overview of this active area of research, as well as making various connections with other branches of analysis and geometry. I will also explain how action convergence, which is an approach based on functional analysis and measure theory, recently turned out to be very succesful in formulting a general theory of graph limits. My talk will conclude by discussing limit notions for more complicated combinatorial structures such as hypergraphs.