Quantum Cayley graphs

Mateusz Wasilewski (Polish Academy of Sciences)

Thursday 2nd February 16:00-17:00 Maths 311B

Abstract

I will propose a definition of a quantum Cayley graph of a discrete quantum group. I will first focus on the unimodular case and discuss how to extend the notion of quantum graphs to the (highly restricted) infinite dimensional setting. It turns out that quantum Cayley graphs to a large extent do not depend on the "generating set", just like for classical groups. In the last part of the talk I will address the case of non-unimodular discrete quantum groups and present some examples. Work in progress.

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