# Christian Voigt: Graphs and their quantum symmetries

TMS guest professor Christian Voigt (University of Glasgow) is giving a mini-course on "Graphs and their quantum symmetries".

This course is part of the project "Pure Mathematics in Norway, 2018-2022", supported by the Trond Mohn Foundation and the Tromsø Research Foundation.

**Abstract**: In these talks I will discuss some recent developments blending quantum information, graph theory and quantum groups. More specifically, the focus will be on the notion of quantum isomorphism of graphs, arising from the study of the graph isomorphism game. An intriguing result of Mancinska-Roberson shows that quantum isomorphism can be characterized purely graph-theoretically in terms of homomorphism counts from planar graphs. One of the key tools in this story are quantum isomorphism groups of graphs, and from the perspective of quantum group theory it is natural to consider “quantum graphs” as well. I will discuss some cross implications in this context and explain how certain constructions and results for graphs can be extended to the realm of quantum graphs.

The course will consist of four lectures given on February 5, 7, 12, 14 in room 819 from 10:15 to 12:00.

Contact person: Sergey Neshveyev