- BIMSA-Tsinghua量子对称讨论班

Quantum groupoids from quantum group dynamics and Tannaka–Krein duality

组织者

黄林哲 , 刘正伟 , 明爽 , 塞巴斯蒂安·帕尔库 , 王亦龙 , 吴劲松

演讲者

Frank Taipe

时间

2025年09月24日 10:30 至 12:00

地点

A3-3-301

线上

Zoom 242 742 6089 (BIMSA)

摘要

This talk explores how certain quantum groupoids naturally emerge from the dynamics of quantum groups, particularly within the framework of operator algebras. We investigate how quantum symmetries give rise to groupoid-type structures, especially in noncommutative contexts where classical symmetry notions require substantial generalization. Special attention is given to the role of quantum group actions in revealing internal structures and dualities, offering insight into the deep interplay between symmetry and noncommutativity. If time permits, the talk concludes with a discussion of categorical reconstruction techniques that extend Tannaka–Krein duality to the setting of quantum groupoids, highlighting their significance in noncommutative geometry.

演讲者介绍

Frank Taipe is a Peruvian mathematician specializing in quantum symmetries and operator-algebraic quantum groupoids. He received his PhD in 2018 from Université de Caen Normandie (France) under the supervision of Leonid Vainerman and Pierre Fima, and is currently Research Assistant at the Instituto de Matemática y Ciencias Afines, Peru.