Event Details

Speaker: Sophie Emma Zegers (TU Delft) Title: On the classification of quantum lens spaces

Abstract: In the study of noncommutative geometry, various of classical spaces have been given a quantum analogue. A class of examples are the quantum lens spaces described by Hong and Szymański as graph C*-algebras. The graph C*-algebraic description has made it possible to obtain important information about their structure and to work on classification. Moreover, every quantum lens space comes with a natural circle action, leading to an equivariant isomorphisms problem.

In this talk, I will give a brief introduction on how to classify quantum lens spaces and how to obtain a number theoretic invariant in low dimensions. Moreover, I will present my recent joint work with Søren Eilers on the existence and construction of equivariant isomorphisms of low dimensional quantum lens spaces.