In recent years multilayer networks are emerging as a novel and powerful way to describe complex systems. Multilayer networks are ubiquitous and include social networks, financial markets, infrastructures, molecular networks and the brain.
Uncovering the interplay between multilayer network structure and function is a big theoretical challenge with a vast realm of applications. On the other side the urgency of understanding real-world multilayer network problems requires novel theoretical approaches. In this talk we will show how the fundamental mathematics beyond multilayer networks reveals the information encoded in these structures and its effect on multilayer network dynamics.