报告题目：Hopf Galois extensions (quantum principal bundles) and gauge groupoid

报 告 人：Xiao Han

所在单位：Queen Mary University of London

报告时间：Aug 7, 2025, 21:00-22:00

报告地点：Zoom Id: 904 645 6677，Password: 2025

会议链接：

//zoom.us/j/9046456677?pwd=Y2ZoRUhrdWUvR0w0YmVydGY1TVNwQT09&omn=89697485456

报告摘要：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.

报告人简介：韩笑博士2011年毕业于兰州大学理论物理本科，后于德国哥廷根大学获数学硕士学位，2020年于意大利国际高等研究院获数学物理与几何方向博士学位。2020至2021年于波兰科娱乐城数学研究所担任助理教授，2021年至今于伦敦玛丽女王大学作访问研究。韩笑获欧盟“玛丽居里学者计划”资助。其感兴趣的研究方向为Hopf algebras, Hopf algebroids (Groupoids and their Quantization), Noncommutative Geometry, Non-commutative principle bundle (Hopf Galois exension), Mathematical Physics.