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Department Colloquium

Fri., Oct. 30, 2020 3:30 p.m.

Location: Live Stream

Speaker: Michael Brannan, Texas A&M University

Title:  Quantum graphs and quantum Cuntz-Krieger algebras (501 kB) PDF file

Zoom Link:

Abstract:  In this talk I will give a light introduction to the theory of quantum graphs. Quantum graphs are generalizations of directed graphs within the framework of non-commutative geometry, and they arise naturally in a surprising variety of areas including quantum information theory, representation theory, and in the theory of non-local games. I will give an overview of some of these connections and also explain how one can generalize the well-known construction of Cuntz-Krieger C*-algebras associated to ordinary graphs to the setting of quantum graphs. Time permitting, I will also explain how quantum symmetries of quantum graphs can be used to shed some light on the structure of quantum Cuntz-Krieger algebras. (This is joint work with Kari Eifler, Christian Voigt, and Moritz Weber.)