In recent years there has been a growing interest in non-commutative or ``quantum'' graphs from various perspectives including operator algebras, operator systems, and quantum information. In this talk I'll introduce quantum graphs and explain how they arise, mainly focusing on their description via quantum adjacency operators. I'll also report on recent joint work with Roberto Hernandez Palomares, where we formulate a more general notion of a quantum graph based on unitary tensor categories and subfactors. Time permitting, I will discuss the status of the (deceptively hard!) problem of defining the quantum space of infinite paths associated to a quantum graph.
ASUERAU C*-Seminar
Thursday, October 3
1:30pm MST (UTC-7) (New time!)
ASU Tempe - WXLR A311 (New room!)
The seminar is organized jointly with Mitch Hamidi and Lara Ismert at Embry-Riddle Aeronautical University in Prescott, AZ.
(Please email the organizers John Guigg, Steve Kaliszewski and Jack Spielberg to be put on the email list if you would like to receive the link to the zoom seminar.)
Mike Brannan
Associate Professor
University of Waterloo