Tuesday 1 October 2024, 16:00 - 17:00 in HG00.310
Sophie Emma Zegers (TU Delft)
Classification of quantum lens spaces
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 an introduction on how to classify low dimensional quantum lens spaces. We will also see how to obtain a number theoretic invariant. Moreover, I will say a few words about a recent joint work with Søren Eilers on the existence and construction of equivariant isomorphisms of low dimensional quantum lens spaces.