Christian Voigt: Self-similar quantum symmetries

Date: 2023-06-13

Time: 15:15 - 15:40

Speaker

Christian Voigt, University of Glasgow

Abstract

This talk is devoted to quantum symmetries of regular rooted trees, and the notion of a self-similar discrete quantum group arising this way. I will discuss how these quantum groups are related to certain quantum automata, and illustrate this with two examples coming from “twists’’ of the Grigorchuk group and the Basilica group, respectively.

Based on joint work in progress with N. Brownlowe, D. Robertson and M. Whittaker.