Speaker
Moritz Weber, University of Saarbrucken
Abstract
In Vern’s lecture, the link between nonlocal games and quantum groups has been mentioned: For the graph isomorphism game, perfect strategies arise as representations of the symmetric group, while perfect quantum strategies arise from representations of the symmetric quantum group. This is a result by Laura Mancinska and David Roberson. On the way, they gave a nice description of the representation theory of quantum automorphism groups of graphs (and a beautiful link to homomorphism counts of graphs in Lovasz’ sense). I will briefly introduce quantum groups and their representation theory, recap Laura and David’s result and then extend it to other graph games, like switching isomorphisms (which link with the free hyperoctahedral quantum group H_N^+). In this context, I will also mention the more general class of so called „easy“ quantum groups as well as the recently defined hypergraph C*-algebras. Okay, it will be a wild mix of many things, let’s see whether it works out.