Pure Math Colloquium

Mateusz Wasilewski, Polish Academy of Sciences

Quantum graphs and their symmetries

I will present an overview of the theory of quantum graphs, which form a natural generalization of graphs from the point of view of operator algebras/quantum information. I will discuss several approaches to the theory, each coming with its own motivation. Just like in the classical case, studying symmetries is extremely important and this naturally leads to quantum groups. It turns out that to some extent one can go back: for a rich class of quantum groups one can construct quantum graphs, whose symmetries are given by the original quantum group. It is the quantum analogue of Frucht's theorem.

MC 5501