BIMSA > BIMSA-Tsinghua Quantum Symmetry Seminar Quantum groupoids from quantum group dynamics and Tannaka–Krein duality
Quantum groupoids from quantum group dynamics and Tannaka–Krein duality
Organizers
Linzhe Huang , Zhengwei Liu , Shuang Ming , Sebastien Palcoux , Yilong Wang , Jinsong Wu
Speaker
Frank Taipe
Time
Wednesday, September 24, 2025 10:30 AM - 12:00 PM
Venue
A3-3-301
Online
Zoom 242 742 6089 (BIMSA)
Abstract
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.
Speaker Intro
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.