Title: Hopf Galois extensions (quantum principal bundles) and gauge groupoid
Speaker: Xiao Han
Affiliation: Queen Mary University of London
Time: Aug 7, 2025, 21:00-22:00
Venue: Zoom ID: 904 645 6677, Password: 2025
Meeting Link:
https://zoom.us/j/9046456677?pwd=Y2ZoRUhrdWUvR0w0YmVydGY1TVNwQT09&omn=89697485456
Abstract:
I will give a talk on the fundamental aspect of Hopf Galois extensions, which play a role as a “quantum” principal bundle. We know principal bundle offers a beautiful language in the gauge theory, where the connection plays the role of gauge potential. So as one approaches to quantum gauge theory, Hopf Galois extension offers a similar picture. Here I will also introduce the Monopole bundles over Podles sphere as an interesting example. Moreover, I will also introduce quantum gauge groupoids and bisections.
Speaker's Biography:
Dr. Xiao Han graduated with a Bachelor's degree in Theoretical Physics from Lanzhou University in 2011. He then obtained a Master's degree in Mathematics from the University of Göttingen, Germany, and a Ph.D. in Mathematical Physics and Geometry from the International School for Advanced Studies (SISSA) in Italy in 2020. From 2020 to 2021, he served as an Assistant Professor at the Institute of Mathematics of the Polish Academy of Sciences. Since 2021, he has been conducting research at Queen Mary University of London. Dr. Han has received funding from the Marie Skłodowska-Curie Actions program and the Leverhulme Grant. His research interests include Hopf algebras, Hopf algebroids (Groupoids and their Quantization), Noncommutative Geometry, Non-commutative principal bundles (Hopf Galois extensions), and Mathematical Physics.
