Algebraic Graph Theory - Prem Nigam Kar

Monday, November 20, 2023 11:30 am - 11:30 am EST (GMT -05:00)

Title: Quantum Automorphism Groups of Trees

Speaker: Prem Nigam Kar
Affiliation: Technical University of Denmark
Location: Please contact Sabrina Lato for Zoom link.

Abstract: We give a characterisation of quantum automorphism groups of trees. In particular, for every tree, we show how to iteratively construct its quantum automorphism group using free products and free wreath products. This can be considered a quantum version of Jordan’s theorem for the automorphism groups of trees. This is one of the first characterisations of quantum automorphism groups of a natural class of graphs with quantum symmetry. This talk is based on the following preprint: